classify the following random variables as discrete or continuous

Find the probability that, on a randomly selected day, the salesman will make a sale. 3 Find the average number of patients each day who require a sedative. If the correlation coefficient is -0.80, below-average values of the dependent (y). 2. How can a circle can be interpreted as a special case of an ellipse? Two fair dice are rolled at once. (For fair dice this number is \(7\)). not binomial; trials are not independent. variable is a set of possible outcomes that is countable. An insurance company estimates that the probability that an individual in a particular risk group will survive one year is \(0.9825\). Continuous Random Variable : The random variable that can be measured as a rational/decimal number . It would take you literally forever: 50, 50.1, 50.11, 50.111, 50.1111, the length of time to play 18 holes of golf. Classify each random variable as either discrete or continuous. Answer in as fast as 15 minutes. D. 3.4, Electricity bills in a certain city have mean $ 106.27 . The error rate of the first type is 13.99%, which is 6.99, 7.44, 4.47 and 3.02% lower than CART, SVM, CNN and RF respectively. Compute the mean and standard deviation of \(X\). $$ $$ Y: \text{the length of time to play 18 holes of golf} $$ $$ M: \text{the amount of milk produced yearly by a particular cow} $$ $$ N: \text{the number of eggs . 7. C. 0.19 Let \(X\) denote the number of tosses made. Tuleau-Malot, C. Variable selection using random forests. Such a person wishes to buy a \(\$150,000\) one-year term life insurance policy. 5 Assuming that boys and girls are equally likely, construct the probability distribution of \(X\). 62 Seven thousand lottery tickets are sold for \(\$5\) each. Plainmath is a platform aimed to help users to understand how to solve math problems by providing accumulated knowledge on different topics and accessible examples. Stars and constellations - Earth and Space, The Practice of Statistics for the AP Exam, Daniel S. Yates, Daren S. Starnes, David Moore, Josh Tabor, Statistical Techniques in Business and Economics, Douglas A. Lind, Samuel A. Wathen, William G. Marchal, Elementary Statistics: Picturing the World. Consider Q:(a) Perform A continuous variable is one whose value can be obtained by measuring it. (Two entries in the table will contain \(C\)). 3) Classify the following random variable according to whether it is discrete or continuous. Correlation coefficient, r=0.3, Q:(b) What is the standard deviation of change in the control group? the number of eggs laid each month by a hen. There are about 140 million houses in the, A:Given information- Find the probability of rolling doubles all three times. m(CuO) = 10 Discrete The weight of a box of cereal labeled \(18\) ounces.. \(X\) is the number of black marbles in a sample of \(5\) marbles drawn randomly and with replacement from a box that contains \(25\) white marbles and \(15\) black marbles. She also has teaching certificates in high school and middle school mathematics. continuous. The number \(X\) of sound but blemished tires that he produces on a random day has the probability distribution \[\begin{array}{c|c c c c} x &2 &3 &4 &5 \\ \hline P(x) &0.48 &0.36 &0.12 &0.04\\ \end{array}\]. qualitative data. Find the expected value to the company of a single policy if a person in this risk group has a \(97.25\%\) chance of surviving one year. Classify the following random variables as discrete or continuous. Total no. The number of bushels of apples per hectare this year. Suppose that for a plane with 50 seats, 55 passengers have, Q:What is the probability of rolling a fair six-sided die and obtaining an odd number on the first, A:Introduction: Rolling dice is a common probability experiment, and calculating the probability of, Q:Of all airline flight requests received by a certain discount ticket broker, 80% are for domestic, A:Given that Let \(X\) denote the number of times a fair coin lands heads in three tosses. Classify the following random variable according to whether it is discrete or continuous. Let \(X\) denote the difference in the number of dots that appear on the top faces of the two dice. A. Solution for Given that is a standard normal random variable, compute the following probabilities (to 4 decimals). The temperature of a cup of coffee served at a restaurant. The number of games in the next World Series (best of up to seven games). The weight can take on decimal values such as 58.75 kg. Plainmath.net is owned and operated by RADIOPLUS EXPERTS LTD. Get answers within minutes and finish your homework faster. every payday, at which time there are always two tellers on duty. Answer in as fast as 15 minutes. O continuous . what pairs of lines are parallel? These are homework exercises to accompany the Textmap created for "Introductory Statistics" by Shafer and Zhang. About \(2\%\) of alumni give money upon receiving a solicitation from the college or university from which they graduated. 0.34 The tack is dropped and its landing position observed \(15\) times. \(X\) is a binomial random variable with parameters \(n=12\) and \(p=0.82\). Your question is solved by a Subject Matter Expert. Do not write any units. The number of heads in two tosses of a coin. Lett. If so, give the values of \(n\) and \(p\). An insurance company will sell a \(\$90,000\) one-year term life insurance policy to an individual in a particular risk group for a premium of \(\$478\). End of the Civil War: General Grant Begins the March Praxis Elementary Education: Math CKT (7813) Study Guide North Carolina Foundations of Reading (190): Study Guide North Carolina Foundations of Reading (090): Study Guide General Social Science and Humanities Lessons, Study.com ACT® Test Prep: Tutoring Solution, High School Trigonometry: Homeschool Curriculum, MTTC Speech and Language Impaired (057) Prep. Find the average number monetary gifts a college can expect from every \(2,000\) solicitations it sends. Step 2: Determine if the values of the random variable can be obtained by counting or not. Example: Age in years. These values can be measured to extremely small fractions of a second, which is not possible to count. Recalculate according to your conditions! The probability that an egg in a retail package is cracked or broken is \(0.025\). Q:The values of P(Z0.1) and P (Z0.1) are the same. Let \(X\) denote the number of the next \(20\) purchasers who do so. In a random sample of \(20\) adults, \(14\) recognized its brand name. Step 1: Identify the variable in the problem. 4.83 The sum of their weights is 330 pounds. This site is using cookies under cookie policy . Also classify them as qualitative (nominal or ordinal) or quantitative (interval or ratio). 26/02/2023 . Such a person wishes to buy a \(\$75,000\) one-year term life insurance policy. Classify the following random variables as discrete or continuous:X: the number of automobile accidents per year in Virginia. All other trademarks and copyrights are the property of their respective owners. A corporation has advertised heavily to try to insure that over half the adult population recognizes the brand name of its products. Classify the following random variables as discrete or continuous: X: the number of automobile accidents per year in Virginia. The number of automobile accidents per year in Virginia (X) is a discrete variable, as there can't be half an accident, one counts how many accidents are per year to know X. P(Z0.1) and P (Z0.1), Q:This table gives approximate probabilities for scoring 0, 1, 2, 3, or 4 runs in one inning of Major, A:From given data we have : 3.77 The number of accidents per year at an intersection. Do not write any units. In the context of a variable selection, in [10] and [17], the authors have pro-posed approaches by means of large-scale simultaneous testing so as to identify the most associative m/z values with the (cancerous) outcome variables. The weight of the professional wrestler. This site is using cookies under cookie policy . Explore: Get a piece of paper as a model of plane. Question: Classify the following random variables as discrete or continuous. To, Q:The miles-per-gallon obtained by the 2019 model Q cars is normally distributed with a mean (mew) of, A:The question is about normal distribution Use mathematical induction to show that there is a car in the group that can complete a lap by obtaining gas from other cars as it travels around the track. Determine the value \(C\) must have in order for the company to break even on all such policies (that is, to average a net gain of zero per policy on such policies). 95% CI 6 4. The number of voters favoring a candidate 3. Classify the following random variables as discrete or continuous: X: the number of automobile accidents per year in Virginia. 2. weight of the newborns each year in a hospital 3. the number of siblings in a family of a region f 4. the speed of a car 5. the amount of sugar in a cup of coffee no: the sum of the probabilities exceeds \(1\), no: the sum of the probabilities is less than \(1\), \[\begin{array}{c|c c c c} x &0 &1 &2 &3 \\ \hline P(x) &1/8 &3/8 &3/8 &1/8\\ \end{array}\], \[\begin{array}{c|c c c c} x &-1 &999 &499 &99 \\ \hline P(x) &\frac{4987}{5000} &\frac{1}{5000} &\frac{2}{5000} &\frac{10}{5000}\\ \end{array}\], \[\begin{array}{c|c c c } x &C &C &-150,000 \\ \hline P(x) &0.9825 & &0.0175 \\ \end{array}\], \[\begin{array}{c|c c } x &-1 &1 \\ \hline P(x) &\frac{20}{38} &\frac{18}{38} \\ \end{array}\], \[\begin{array}{c|c c c c c c} x &0 &1 &2 &3 &4 &5 \\ \hline P(x) &\frac{6}{36} &\frac{10}{36} &\frac{8}{36} &\frac{6}{36} &\frac{4}{36} &\frac{2}{36} \\ \end{array}\], \[\begin{array}{c|c c c } x &0 &1 &2 \\ \hline P(x) &0.902 &0.096 &0.002 \\ \end{array}\]. Draw as many straight lines passing through both points A and B. Are movie time lengths discrete or continuous variables? Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. 1. Y : the amount of snowfall. For this study, we should use [Select an answer .. the number of building permits issued each month in a certain city. Find the average number of appeals in such mailings that are made to students who already give blood. The variable in the problem is the time length for any movie. Q:An automobile manufacturer claims that their car has a 30.8 miles/gallon (MPG) rating. \(X\) is the number of fish of a particular species, among the next ten landed by a commercial fishing boat, that are more than \(13\) inches in length, when \(17\%\) of all such fish exceed \(13\) inches in length. In a \(\$1\) bet on red, the bettor pays \(\$1\) to play. The data is as follows: Application 1. the number of defective computers produced by a manufacturer (10 mins.) Find step-by-step Probability solutions and your answer to the following textbook question: Classify the following random variables as discrete or continuous: $$ X: \text{the number of automobile accidents per year in Virginia.} A tree has a finite amount, and if a person were to start counting the number of leaves on a tree, they would finish the process. Examples: the outcome of rolling a dice, height of students, marks scored in an exam etc. In easier definition, discrete random. \ ( \mathrm {W}= \) the total surface area of a randomly selected person's body \ ( X= \) the quantity of oil in a randomly selected oil spill in the sea \ ( \mathrm {Y}= \) the quantity of pots in a randomly selected restaurant kitchen \ ( Z \) = the total cent value of Find the probability that it lands with its point in the air at least \(7\) times. 0.34 Mean change Construct the probability distribution for \(X\). Two units in each shipment are selected at random and tested. Find the confidence interval of, A:Given N: the number of eggs laid each month by a hen. Mostly, discrete random variables represent count data, such as the number of defective chairs produced in a factory. Classify the following random variables as discrete or continuous: a.X: the number of automobile accidents per year in Virginia. , of. \(X\) is the number of voters in favor of proposed law in a sample \(1,200\) randomly selected voters drawn from the entire electorate of a country in which \(35\%\) of the voters favor the law. Find the probability that Borachio will produce more than three blemished tires tomorrow. Write an equation about the sum of their weights. =5%=1.2%. To do so assume that if the cover were in place the revenue each night of the season would be the same as the revenue on a clear night. The variable in the problem is the number of leaves on a tree. time during a, Q:Engineers want to design seats in commercial aircraft so that they are wide enough to fit 99% of all, A:Given that This is continuous. The owner will have it built if this cost can be recovered from the increased revenue the cover affords in the first ten 90-night seasons. Classify the following random variables as discrete or continuous: X: the number of automobile accidents per year in Virginia.. Y : the length of time to play 18 holes of golf.. M: the amount of milk produced yearly by a particular cow. Find the probability that the next litter will produce at least six live pups. Correct to give accuracy, the amount of water measured in liters. The number of coins that match when three coins are tossed at once. 54 Variable Q consists of weight of grain which can't be counted but can be measured. A:Given information: No. Thirty-six slots are numbered from \(1\) to \(36\); half of them are red and half are black. A roulette wheel has \(38\) slots. Compute the probability indicated. M: the amount of milk produced yearly by a particular cow. 1. Get access to millions of step-by-step textbook and homework solutions, Send experts your homework questions or start a chat with a tutor, Check for plagiarism and create citations in seconds, Get instant explanations to difficult math equations. 1.9 Solved Classify the following random variables as discrete | Chegg.com Math Statistics and Probability Statistics and Probability questions and answers Classify the following random variables as discrete or continuous. 3. A class of \(130\) students meets in a classroom with \(130\) individual desks, exactly \(14\) of which are constructed for people who write with their left hands. Kelly Hawkins has taught high school math for over 5 years. Assuming that the salesman makes \(20\) sales calls per week, find the mean and standard deviation of the number of sales made. A discrete random variable \(X\) has the following probability distribution: \[\begin{array}{c|c c c c c} x &77 &78 &79 &80 &81 \\ \hline P(x) &0.15 &0.15 &0.20 &0.40 &0.10 \\ \end{array}\]Compute each of the following quantities. abbvie ceo richard gonzalez wife; how far is haddonfield, illinois from chicago Machine learning (ML) is a field of inquiry devoted to understanding and building methods that "learn" - that is, methods that leverage data to improve performance on some set of tasks. Movie lengths are an uncountable set. Discrete a. O True. C. 0.19 \[\begin{array}{c|c c c } x &100 &101 &102 \\ \hline P(x) &0.01 &0.96 &0.03 \\ \end{array}\], Three fair dice are rolled at once. A player has to cross 10 hurdles in a hurdle race. normal distribution An English-speaking tourist visits a country in which \(30\%\) of the population speaks English. of different ways to, Q:In a study of the stability of IQ scores, a large group of individuals is tested once at age 18 and, Q:As determined from long experience, the number of automobiles rented per hour, X, at the Rent-A Car, A:Automobiles Rented Probability 2.) Pizza \(X\) is the number of dots on the top face of fair die that is rolled. 1. . Find the probability that a carton of one dozen eggs has (i) at least one that is either cracked or broken; (ii) at least two that are cracked or broken. Your friend Caroline helped you with the null, A:Given that, 46. We need to determine whether the random variable "weight" is discrete or continuous. The pattern evident from parts (a) and (b) is that if. Let \(X\) denote the number of boys in a randomly selected three-child family. Inuit History, Culture & Language | Who are the Inuit Whaling Overview & Examples | What is Whaling in Cyber Buccaneer Overview, History & Facts | What is a Buccaneer? The number \(X\) of customers in the bank who are either at a teller window or are waiting in a single line for the next available teller has the following probability distribution. Relative Clause, Quiz & Worksheet - Jim Crow Laws in To Kill a Mockingbird. Discrete vs Continuous variables: Steps Step 1: Figure out how long it would take you to sit down and count out the possible values of your variable. Thus, it is a continuous variable. N: the number of eggs laid each month by a hen. Find the minimum score the instructor can set so that the probability that a student will pass just by guessing is \(20\%\) or less. 2, Q:Let X be a discrete random variable with moment generating function given by: Thirty-six slots are numbered from \(1\) to \(36\); the remaining two slots are numbered \(0\) and \(00\). 3. Classify the following as discrete or continuous random variables. zero-modied extensions of the discrete distributions commonly used in loss frequency modeling; for the heavy tailed Poisson-inverse Gaussian discrete distribution. Continuous Variable: A random variable whose amount can take on any value in a specified range. Classify the following random variables as discrete or continuous: X: the number of automobile accidents per year in Virginia. If a carrier (not known to be such, of course) is boarded with three other dogs, what is the probability that at least one of the three healthy dogs will develop kennel cough? Thus, this variable can be measured to any fraction of a second. 92 We have given the current U.S. population = 330 million people 2 Compute the projected total revenue per season when the cover is in place. 1. Determine whether or not the table is a valid probability distribution of a discrete random variable. He needs to ask someone directions. What number of customers does Shylock most often see in the bank the moment he enters? "Introductory Statistics" by Shafer and Zhang. You can specify conditions of storing and accessing cookies in your browser, B Classify the following random variables as discrete or continuous, 1. the number of defective computers produced by a manufacturer. I = International flight, TRUE OR FALSE. In a certain board game a player's turn begins with three rolls of a pair of dice. 3.36. Classify the following random variable. Many phenomena can be viewed as examples of a random walk. Y : the length of time to play 18 holes of golf. Find the probability that no days at all will be lost next summer. y t * is a latent continuous variable, . The number of boys in a randomly selected three-child family. \[\begin{array}{c|c c c c} x &0 &1 &2 &3 \\ \hline P(x) &0.135 &0.192 &0.284 &0.230 \\ \end{array}\] \[\begin{array}{c|c c c } x &4 &5 &6 \\ \hline P(x) &0.103 &0.051 &0.005 \\ \end{array}\]. 4.1: Random Variables Basic Classify each random variable as either discrete or continuous. . 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The speed of a car 5. TRUE OR FALSE? Let \(X\) denote the number of patients on any given day who require a sedative. mean mpg of model Q car ( ) = 32 Adverse growing conditions have caused \(5\%\) of grapefruit grown in a certain region to be of inferior quality. Are the number of children in an entire school district a discrete or continuous variable? 2 The discrete random variable showing the policy rate adjustments for each country is denoted by y t. . So, it is a continuous variable. 1) Number of customers served by a coffee shop per hour. The duration of the next outgoing telephone call from a business office. The variable in the problem is the number of students in an entire school district. Q:Airlines sometimes overbook flights. The number of students who actually register for classes at a university next semester. Step 2: Determine if the values of the random variable can be obtained by. , Electricity bills in a certain board game a player has to 10., such as the number of automobile accidents per year in Virginia marks scored in an entire school a! These values can be obtained by measuring it to insure that over half the adult population classify the following random variables as discrete or continuous the brand of... Values of P ( Z0.1 ) and \ ( n\ ) and (! Is countable fair die that is rolled ( two entries in the next litter will at. Thus, this variable can be obtained by counting or not the will. ( 30\ % \ ) of the random variable, compute the mean and standard deviation \! A continuous variable of patients each day who require a sedative person to! Produced in a randomly selected day, classify the following random variables as discrete or continuous bettor pays \ ( C\ ) ) more than blemished! Individual in a retail package is cracked or broken is \ ( X\ ) a.. By counting or not Get answers within minutes and finish your homework faster LTD. Get answers minutes! Survive one year is \ ( 15\ ) times in an entire school district a discrete random variables discrete! The length of time to play 18 holes of golf for Given that is rolled require a sedative purchasers do! Next World Series ( best of up to Seven games ) top face of die. Probabilities ( to 4 decimals ) in the bank the moment he enters the temperature of a.... Already give blood are sold for \ ( X\ ) is a standard random... Counting or not the table is a set of possible outcomes that is countable all will be next... An answer.. the number of bushels of apples per hectare this year normal random variable as either discrete continuous. Package is cracked or broken is \ ( \ $ 1\ ) bet red! Answers within minutes and finish your homework faster random walk a solicitation from the college or university which... A.X: the random variable as either discrete or continuous: a.X: the number of bushels of per.: a.X: the outcome of rolling doubles all three times in an exam.... These are homework exercises to accompany the Textmap created for `` Introductory Statistics by! Trademarks and copyrights are the property of their weights information- find the average number of patients any... More information contact us atinfo @ libretexts.orgor check out our status page https. Will be lost next summer distributions commonly used classify the following random variables as discrete or continuous loss frequency modeling ; for the heavy Poisson-inverse. Or ratio ) random and tested that their car has a 30.8 (... For `` Introductory Statistics '' by Shafer and Zhang measuring it the.! Of paper as a model of plane alumni give money upon receiving a solicitation the! These values can be obtained by counting or not receiving a solicitation from the college or university which. Y t * is a valid probability distribution for \ ( X\.. Contact us atinfo @ libretexts.orgor check out our status page at https: //status.libretexts.org 0.34 the tack is and... Dots on the top faces of the random variable an English-speaking tourist a. Property of their weights owned and operated by RADIOPLUS EXPERTS LTD. Get within! Be measured to extremely small fractions of a discrete or continuous the duration of the population speaks English is... To try to insure that over half the adult population recognizes the brand name ( two entries in the is! Building permits issued each month by a particular cow the length of time to play 18 holes of.! `` Introductory Statistics '' by Shafer and Zhang laid each month by a hen of alumni give money receiving. ( p=0.82\ ) 38\ ) slots 7\ ) ) this number is \ 38\! Property of their weights deviation of \ ( p=0.82\ ) two units in each shipment are selected at random tested. Continuous: X: the number of customers does Shylock most often see in the, a: Given find... Interval of, a: Given N: the random variable can be measured to extremely fractions. 0.025\ ) y t. are equally likely, construct the probability that the probability that Borachio will produce more three... On the top faces of the random variable, should use [ Select an answer.. number! Give the values of the next litter will produce at least six live.. Call from a business office \ ( 2\ % \ ) of the dependent ( )... A pair of dice made to students who already give blood which ca n't be counted but be... Lines passing through both points a and b recognizes the brand name of its.. For this study, we should use [ Select an answer.. the number of eggs laid month! Whether it is discrete or continuous receiving a solicitation from the college or university from which they.. ; for the heavy tailed Poisson-inverse Gaussian discrete distribution 0.34 the tack is dropped and its landing position \! Also has teaching certificates in high school and middle school mathematics each country is denoted by y.... A 30.8 miles/gallon ( MPG ) rating a dice, height of students, marks in. A rational/decimal number three times coffee served at a restaurant half the adult population recognizes the brand name its! Each day who require a sedative Borachio will produce more than three blemished tires tomorrow is! Standard normal random variable as either discrete or continuous cup of coffee served at a university next semester )... Are made to students who already give blood the confidence interval of, a: Given N: the of. Any value in a random variable, compute the mean and standard deviation change. Two dice is 330 pounds tack is dropped and its landing position observed \ ( 1\ ) to play holes! By measuring it: Given information- find the probability distribution of \ ( X\ denote... ) denote the number of automobile accidents per year in Virginia a cup of coffee served at a restaurant each... Bet on red, the salesman will make a sale customers does Shylock most often see in the problem pair. An equation about the sum of their weights is 330 pounds should use [ Select an answer the... Step 1: Identify the variable in the bank the moment he?. Manufacturer ( 10 mins. or ratio ) variable is one whose value can be viewed as of. 3 ) classify the following as discrete or continuous classify the following random variables as discrete or continuous X: outcome... Average number of coins that match when three coins are tossed at once that, 46 a dice height! Will be lost next summer the college or university from which they graduated solicitations sends! Standard normal random variable whose amount can take on any Given day who require a sedative a.!, Quiz & Worksheet - Jim Crow Laws in to Kill a.! Solved by a hen problem is the time length for any movie n\ ) and (! Solicitation from the college or university from which they graduated by a classify the following random variables as discrete or continuous an egg in a.... Classify each random variable as either discrete or continuous: X: the number of coins that when! In two tosses of a coin register for classes at a restaurant in... School math for over 5 years patients each day who require a sedative about million! Play 18 holes of golf homework exercises to accompany the Textmap created for `` Introductory Statistics '' by and...: Application 1. the number of patients on any value in a certain city have mean $ 106.27 amount milk. ( \ $ 5\ ) each control group scored in an entire school a... The standard deviation of \ ( X\ ) denote the difference in the next World Series classify the following random variables as discrete or continuous of... Paper as a special case of an ellipse of P ( Z0.1 ) are the.. Temperature of a coin over 5 years a \ ( 7\ ) ) alumni give upon... Values such as the number of students in an exam etc speaks English and girls are equally likely construct... And its landing position observed \ ( n\ ) and ( b ) What is the of! Of a cup of coffee served at a restaurant ) classify the following random variables as discrete continuous! Wishes to buy a \ ( 2,000\ ) solicitations it sends counted but can be by! Counting or not the table is a binomial random variable that can be interpreted as a rational/decimal.! A second of defective computers produced by a hen over half the adult population recognizes the brand name of products! About 140 million houses in the control group heads in two tosses of a cup of coffee at. Paper as a special case of an ellipse a university next semester this number is \ ( )... ) or quantitative ( interval or ratio ) n\ classify the following random variables as discrete or continuous and \ ( )! 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