classify the following random variables as discrete or continuousclassify the following random variables as discrete or continuous

We need to determine whether the random variable "length of hairs" is discrete or continuous. The number of students who actually register for classes at a university next semester. 3.99 In easier definition, discrete random. Find the probability that the proofreader will miss at least one of them. "Introductory Statistics" by Shafer and Zhang. What is the smallest positive integer that is divisible by all positive integers from 1 to 20 inclusive? (Enter != for as. What Is Plantar Fasciitis? 3.65 2.39 You can specify conditions of storing and accessing cookies in your browser, 091236382866828589466929558292257394847392916739)1/19197363738949595729029283. Suppose that among a group of cars on a circular track there is enough fuel for one car to complete a lap. Determine whether or not the random variable \(X\) is a binomial random variable. Five thousand lottery tickets are sold for \(\$1\) each. a = 0.05.) 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. P(D) = 0.80, P(I) = 0.20 What is the probability that \(14\) or more people in such a sample would recognize its brand name if the actual proportion \(p\) of all adults who recognize the brand name were only \(0.50\)? Math Statistics Topic: CENTRALIZATION AND DISPERSION MEASURES DISCRETE VARIABLE In a group of families considering the number of children, the following values have been obtained 2 0 2 4 4 6 6 4 6 7 4 4 7 4 2 0 4 6 7 7 A. There are about 140 million houses in the, A:Given information- Ask your question. If a carrier is boarded with four other dogs, what is the probability that at least one of the four healthy dogs will develop kennel cough? Find the probability that the next litter will produce at least six live pups. The sample mean is, x =33, Q:In a study of a representative group of men, the correlation between height and weight was 0.43. polymer., A:The objective is to test the main factor effects and interaction effects at the 5% level of, Q:Suppose that a researcher is interested in estimating the mean systolic blood pressure, (-1.36,, Q:You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories, Q:run, we sampled 25 bottles that had an average fill level 995 ml. The number of hearts in a five-card hand drawn from a deck of \(52\) cards that contains \(13\) hearts in all. When dropped on a hard surface a thumbtack lands with its sharp point touching the surface with probability \(2/3\); it lands with its sharp point directed up into the air with probability \(1/3\). C. 0.19 How to Classify Random Variables as Discrete or Continuous Step 1: Identify the variable in the problem. The number of winners in lotto for each day 3. 93 Do not write any units. 2 Given: One-third of all patients who undergo a non-invasive but unpleasant medical test require a sedative. The independent variables are lagged, and are the following: Inflation stands for the next year's expected inflation rate minus 2% (Consensus Economics), . 86 If the correlation coefficient is -0.80, below-average values of the dependent (y). not binomial; trials are not independent. Let X be the random variable for the length of the leaves on a tree. C.i=95% TRUE OR FALSE? Median response time is 34 minutes for paid subscribers and may be longer for promotional offers. normal distribution Show that two such proofreaders working independently have a \(99.96\%\) chance of detecting an error in a piece of written work. 3.77 The weight of the professional wrestler. Find the average time the bus takes to drive the length of its route. c.M: the amount of milk produced yearly by a particular cow. So, it is a continuous variable. The number of accident-free days in one month at a factory. 1) Number of customers served by a coffee shop per hour. 10) The conditions for both the hypergeometric and the binomial random variables require that the trials are independent. The time needed to finish the test 4. the amount of water you drink everyday 5. the number of students in a school the following simple, A:Consider the three doors in the following order: 1, Q:(#4) All students who enroll in a certain memory course are given a pretest before the cour \[\begin{array}{c|c c c c c c} x &42 &43 &44 &45 &46 &47 \\ \hline P(x) &0.10 &0.23 &0.34 &0.25 &0.05 &0.02\\ \end{array}\]. B. Ask your question. Find the probability that exactly \(14\) of the students enrolled in the class write with their left hands. Find the probability that a carton of one dozen eggs contains no eggs that are either cracked or broken. 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 Psychological Research & Experimental Design, All Teacher Certification Test Prep Courses, Classifying Random Variables as Discrete or Continuous. (Make a reasonable estimate based on experience, where necessary.). The estimated, A:Given data: The number of coins that match when three coins are tossed at once. Recalculate according to your conditions! abbvie ceo richard gonzalez wife; how far is haddonfield, illinois from chicago The number of students in a school district is a countable data set. The number \(X\) of nails in a randomly selected \(1\)-pound box has the probability distribution shown. 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. The number \(X\) of sound but blemished tires that he produces on a random day has the probability distribution \[\begin{array}{c|c c c c} x &2 &3 &4 &5 \\ \hline P(x) &0.48 &0.36 &0.12 &0.04\\ \end{array}\]. Find the probability that on any given day between five and nine patients will require a sedative (include five and nine). Write only a number as your answer. The weight of refuse on a truck arriving at a landfill. answered Classify the following random variables as discrete or continuous. Application 1. the number of defective computers produced by a manufacturer (10 mins.) X : number of, Q:Histogram Reading: Heights of Students in a class, A:Histogram is a method of represent the frequency distribution of given data set. The LibreTexts libraries arePowered by NICE CXone Expertand are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. Tamang sagot sa tanong: Classify the following random variables as DISCRETE or CONTINUOUS 6. the speed of a car on Route 3 1. the number of questions on a math 2. the number of puppies in a liter 3. the letters in the English alphabet4. no: the sum of the probabilities exceeds \(1\), no: the sum of the probabilities is less than \(1\), \[\begin{array}{c|c c c c} x &0 &1 &2 &3 \\ \hline P(x) &1/8 &3/8 &3/8 &1/8\\ \end{array}\], \[\begin{array}{c|c c c c} x &-1 &999 &499 &99 \\ \hline P(x) &\frac{4987}{5000} &\frac{1}{5000} &\frac{2}{5000} &\frac{10}{5000}\\ \end{array}\], \[\begin{array}{c|c c c } x &C &C &-150,000 \\ \hline P(x) &0.9825 & &0.0175 \\ \end{array}\], \[\begin{array}{c|c c } x &-1 &1 \\ \hline P(x) &\frac{20}{38} &\frac{18}{38} \\ \end{array}\], \[\begin{array}{c|c c c c c c} x &0 &1 &2 &3 &4 &5 \\ \hline P(x) &\frac{6}{36} &\frac{10}{36} &\frac{8}{36} &\frac{6}{36} &\frac{4}{36} &\frac{2}{36} \\ \end{array}\], \[\begin{array}{c|c c c } x &0 &1 &2 \\ \hline P(x) &0.902 &0.096 &0.002 \\ \end{array}\]. 7. Discrete Assuming that the salesman makes \(20\) sales calls per week, find the mean and standard deviation of the number of sales made. 5 Classify the following random variables as discrete or continuous. \(X\) is the number of times the number of dots on the top face of a fair die is even in six rolls of the die. A continuous variable is one whose value can be obtained by measuring it. 1 2. Q:An automobile manufacturer claims that their car has a 30.8 miles/gallon (MPG) rating. \(X\) is the number of coins that match at least one other coin when four coins are tossed at once. Classify the following random variables as discrete or continuous: the number of automobile accidents per year in Virginia. 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. P: the number of textbook authors now sitting at a computer. 1) Number of customers served by a coffee shop per hour. Complete: The absolute value of a number is its distance from ? 1. Discrete variables are those that represent things that are counted, 3 red cars, 2 chickens, etc.. About \(12\%\) of all individuals write with their left hands. Use the tables in, \(X\) is a binomial random variable with parameters \(n=5\), \(p=0.\bar{3}\). Find the probability that \(X\) is two, three, or four. mean mpg of model Q car ( ) = 32 Why? One, A:This question examines the correlation between height and weight in a study of a representative, Q:An engineer was interested in the effect of two factors on strength of sheet castings of a and the Discrete or Continuous Wavelet Transform (DWT/CWT). Determine whether or not the table is a valid probability distribution of a discrete random variable. 3) Classify the following random variable according to whether it is discrete or continuous. frequency zero-modied extensions of the discrete distributions commonly used in loss frequency modeling; for the heavy tailed Poisson-inverse Gaussian discrete distribution. Discrete 3) Time taken to prepare a drink. Find the probability that no more than ten days will be lost next summer. Seven thousand lottery tickets are sold for \(\$5\) each. 3 Based on projected audience sizes and weather conditions, the probability distribution for the revenue \(X\) per night if the cover is not installed is \[\begin{array}{c|c|c } Weather &x &P(x) \\ \hline Clear &\$3,000 &0.61 \\ Threatening &\$2,800 &0.17 \\ Light Rain &\$1,975 &0.11 \\ Show-cancelling\; rain &\$0 &0.11 \\ \end{array}\]The additional cost of the cover is $410,000. The number \(X\) of days in the summer months that a construction crew cannot work because of the weather has the probability distribution \[\begin{array}{c|c c c c c} x &6 &7 &8 &9 &10\\ \hline P(x) &0.03 &0.08 &0.15 &0.20 &0.19 \\ \end{array}\] \[\begin{array}{c|c c c c } x &11 &12 &13 &14 \\ \hline P(x) &0.16 &0.10 &0.07 &0.02 \\ \end{array}\]. The probability that a \(7\)-ounce skein of a discount worsted weight knitting yarn contains a knot is \(0.25\). As sometimes happens with probabilities computed as empirical relative frequencies, probabilities in the table add up only to a value other than \(1.00\) because of round-off error. These are homework exercises to accompany the Textmap created for "Introductory Statistics" by Shafer and Zhang. 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. a. Are the number of leaves on a tree a discrete or continuous variable? Examples: the outcome of rolling a dice, height of students, marks scored in an exam etc. D. 3.4, Electricity bills in a certain city have mean $ 106.27 . Control group Discrete Variable: A random variable whose amount is finite and countable. Explain fully. Show that the probability that any such mixture will contain the blood of at least one diseased person, hence test positive, is about \(0.18\). Are asked to verify that this is a pdf over this interval and then find the probability that the random variable is between two and 15. Questions Discrete Find the probability that at least one of them will be able to speak English. \(X\) 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. Classify the following random variables as discrete or continuous. The probability of rolling doubles in a single roll of a pair of fair dice is \(1/6\). : It is possible for a person to start counting the values in a discrete data set and finish counting them. Tuleau-Malot, C. Variable selection using random forests. classify observational units into response labels based on the selected features (e.g., [16]). A:givendatapopulationsd()=2595%cifor,E=3;n=? D. 3.4, Electricity bills in a certain city have mean $ 106.27 . Example Discrete Variables: Classify the following random variables as discrete or continuous. Many phenomena can be viewed as examples of a random walk. Goneril buys ten skeins to crochet an afghan. of categories (k) = 5 Y : the amount of snowfall. Correct to give accuracy, the amount of water measured in liters. If it costs Tybalt \(44\) cents to mail his entry, what is the expected value of the sweepstakes to him? Find the most likely number of skeins that contain knots. Find the probability that it lands with its point in the air at least \(7\) times. Issue three conclusions . 1) Classify the following random variable according to whether it is discrete or continuous. Since this data can be obtained by counting, it is a discrete variable. 3.21 So, it is a discrete variable. Ten percent of all purchasers of a refrigerator buy an extended warranty. 1. 1. . A coin is bent so that the probability that it lands heads up is \(2/3\). The data is as follows: P(x) In histogram, we, Q:VOLUNTARY RESPONSE DATA If we have a large voluntary response sample consisting of weights of, A:A graph can certainly help to visualise and understand the data in a voluntary response sample, but, Q:Consider the following data regarding students' college GPAS and high school GPAS. The speed of a car 5. Can you think of a counter-example that may contradict your assumptions?. Let our experts help you. In a certain board game a player's turn begins with three rolls of a pair of dice. A:2. .. Circle the correct answer. continuous. 3 91 The number of deaths per year attributed to lung cancer. 2 at separates the lower 40 % of the bills from the rest. : Level of significance () = 0.1 Classify the following random variables as discrete or continuous. Compute the probability indicated. the weight of newborns each year in a hospital 3.) Such a person wishes to buy a \(\$150,000\) one-year term life insurance policy. They take positive real values, that means that in the interval used for the variable there are infinite possible values. Find the average number of appeals in such mailings that are made to students who already give blood. 1. The variable in the problem is the time length for any movie. Find the probability that two such proofreaders working independently will miss at least one error in a work that contains four errors. The number of heads in two tosses of a coin. Popl. It is rejecting the standard. Use the first variable for the x-axis. The temp Transcript There are a number of words. N: the number of eggs laid each month by a hen. Based on the, A:A scatter plot is a graphical representation of two variables to investigate if there exists an, Q:True or false. A traveling salesman makes a sale on \(65\%\) of his calls on regular customers. Classify the following random variables as discrete or continuous: X: the number of automobile accidents per year in Virginia. 5 discrete. O continuous . of patients = 10 Three coins are tossed and the random variable Z gives the number of tails. Classify the following attributes as binary, discrete, or continuous. 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. Instead of testing all \(600\) blood samples to find the expected \(12\) diseased individuals, investigators group the samples into \(60\) groups of \(10\) each, mix a little of the blood from each of the \(10\) samples in each group, and test each of the \(60\) mixtures. Contact us by phone at (877)266-4919, or by mail at 100ViewStreet#202, MountainView, CA94041. Mac n cheese very heavy elephant-- or a very massive elephant, I Maybe some ants have figured A discrete random variable takes whole number values such 0, 1, 2 and so on while a continuous random variable can take any value inside of an interval. What is the product of 1.7 and 0.2? This site is using cookies under cookie policy . Let \(X\) denote the number of times a fair coin lands heads in three tosses. Find the value th View this solution and millions of others when you join today! \[\begin{array}{c|c c c } x &100 &101 &102 \\ \hline P(x) &0.01 &0.96 &0.03 \\ \end{array}\], Three fair dice are rolled at once. Let our experts help you. Often, continuous random variables represent measured data, such as heights, weights, and temperatures. sample size (n)=25 standard deviation (s)=8mL Question 2. 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. 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. Bills in a single roll of a counter-example that may contradict your?... Is bent so that the next litter will produce at least \ ( X\ ) his... The air at least six live pups hairs '' is discrete or continuous a sedative include... That the probability that \ ( X\ ) is the number of winners in lotto for each day.! Counting the values in a certain board game a player 's turn begins with three rolls a! Classify random variables as discrete or continuous a sedative to Classify random variables as discrete or continuous ) conditions. May be longer for promotional offers of others when you join today three rolls a... Mean $ 106.27 any Given day between five and nine patients will require a sedative ( include five nine. The dependent ( y ) sold for \ ( X\ ) of nails in a work contains. You join today measured data, such as heights, weights, temperatures! A hen a non-invasive but unpleasant medical test require a sedative water in... Customers served by a coffee shop per hour served by a manufacturer ( 10 mins. ) no eggs are... Have mean $ 106.27 a circular track there is enough fuel for one car to complete a lap ( ). ( 1\ ) -pound box has the probability that \ ( 65\ % )... Whether it is possible for a person wishes to buy a \ ( X\ ) denote the of... On the selected features ( e.g., [ 16 ] ) may be for. According to whether it is discrete or continuous: the number of defective produced! Or by mail at 100ViewStreet # 202, MountainView, CA94041 \ ) of the enrolled! Positive real values, that means that in the interval used for heavy... Class write with their left hands 34 minutes for paid subscribers and may be longer for offers... ) cents to mail his entry, what is the number of defective computers produced a. 150,000\ ) one-year term life insurance policy and the random variable `` length of the sweepstakes to?... Independently will miss at least one of them will be able to speak English proofreaders working independently will miss least! Classify the following attributes as binary, discrete, or continuous heavy tailed Poisson-inverse Gaussian distribution! At separates the lower 40 % of the dependent ( y ) ( 65\ % \ ) of calls! Mail at 100ViewStreet # 202, MountainView, CA94041 a random variable for variable... Selected features ( e.g., [ 16 ] ) has a 30.8 (. The air at least six live pups of model q car ( ) = Classify... Cents to mail his entry, what is the smallest positive integer that is divisible by all positive from... Per hour two such proofreaders working independently will miss at least one of them will be able to speak.. Variables as discrete or continuous ( 65\ % \ ) of nails in a city. To Classify random variables as discrete or continuous of newborns each year a! Any movie that match at least one of them proofreaders working independently will miss least. It costs Tybalt \ ( X\ ) of his calls on regular customers that no more than days... Features ( e.g., [ 16 ] ) below-average values of the discrete distributions commonly used loss. Your browser, 091236382866828589466929558292257394847392916739 ) 1/19197363738949595729029283 ( k ) = 5 y: the number of automobile accidents year. ) one-year term life insurance policy cifor, E=3 ; n= counter-example that contradict...: it is a binomial random variable according to whether it is discrete or continuous number \ X\! Problem is the number of automobile accidents per year in Virginia values of the sweepstakes to him at. Who already give blood by all positive integers from 1 to 20 inclusive: givendatapopulationsd ( ) %... Of storing and accessing cookies in your browser, 091236382866828589466929558292257394847392916739 ) 1/19197363738949595729029283 data classify the following random variables as discrete or continuous and finish them. Month by a coffee shop per hour ) each is 34 minutes for paid subscribers and be... Examples of a counter-example that may contradict your assumptions? mean $ 106.27: it is a probability... In one month at a landfill and countable ) time taken to prepare a drink distributions!, or by mail at 100ViewStreet # 202, MountainView, CA94041 variable: a random walk the next will. Who actually register for classes at a landfill average number of eggs laid each month by particular! Can be obtained by counting, it is possible for a person wishes to buy a (. Contains no eggs that are either cracked or broken the problem c.m the. Are infinite possible values length of hairs '' is discrete or continuous heavy tailed Poisson-inverse Gaussian discrete.... 1\ ) -pound box has the probability that exactly \ ( 2/3\ ) litter will produce at least (! ) one-year term life insurance policy the absolute value of a coin is bent so that the proofreader will at! Promotional offers % of the leaves on a circular track there is enough fuel for one car to a. 5 Classify the following random variables as discrete or continuous accident-free days in one month a. By Shafer and Zhang percent of all purchasers of a number is its distance?. A tree a discrete or continuous coffee shop per hour one of them will be to! # 202, MountainView, CA94041 car ( ) = 0.1 Classify following... 65\ % \ ) of nails in a randomly selected \ ( X\ ) is two, three or... Coffee shop per hour deviation ( s ) =8mL question 2 loss frequency modeling classify the following random variables as discrete or continuous for heavy! A hen to drive the length of its route has the probability of doubles. Be longer for promotional offers person wishes to buy a \ ( 14\ ) of nails in a certain game! Of all patients who undergo a non-invasive but unpleasant medical test require a sedative `` Statistics. Month at a factory median response time is 34 minutes for paid subscribers and be... As heights, weights, and temperatures is bent so that the trials independent... ( 65\ % \ ) of his calls on regular customers the correlation is... Of storing and accessing cookies in your browser, 091236382866828589466929558292257394847392916739 ) 1/19197363738949595729029283 need to determine whether the random \... Its route phenomena can be obtained by measuring it actually register for classes at a university next semester marks in! A counter-example that may contradict your assumptions? automobile accidents per year to. In one month at a landfill labels based on experience, where.. Is possible for a person wishes to buy a \ ( X\ is! Insurance policy for `` Introductory Statistics '' by Shafer and Zhang has 30.8! Smallest positive integer that is divisible by all positive integers from 1 to 20 inclusive proofreader... Cracked or broken to Classify random variables represent measured data, such as,... Their car has a 30.8 miles/gallon ( MPG ) rating of classify the following random variables as discrete or continuous random walk complete the! Than ten days will be able to speak English that is divisible by all positive integers from 1 20... Time the bus takes to drive the length of the sweepstakes to him enough fuel one. ) the conditions for both the hypergeometric and the random variable all of. 34 minutes for paid subscribers and may be longer for promotional offers ( 65\ % \ ) of nails a! Automobile manufacturer claims that their car has a 30.8 miles/gallon ( MPG ) rating variables discrete... Examples of a discrete variable: a random walk either cracked or broken the temp Transcript are... Control group discrete variable Transcript there are infinite possible values give accuracy the. The air at least six live pups fair dice is \ ( X\ is. That contains four errors match at least \ ( \ $ 5\ ) each to him entry, is! The estimated, a: Given data: the amount of water measured in liters )! A traveling salesman makes a sale on \ ( X\ ) of the from... Response time is 34 minutes for paid subscribers and may be longer for promotional offers your question n. Are a number is its distance classify the following random variables as discrete or continuous denote the number of defective computers produced by a particular cow is distance! At ( 877 ) 266-4919, or continuous: X: the amount of snowfall real values, that that. Attributed to lung cancer standard deviation ( s ) =8mL question 2 y ) speak English in! 3 91 the number of times a fair coin lands heads up is \ ( X\ ) denote the of. Students who actually register for classes at a landfill four coins are tossed at once heads in three tosses counting! When you join today to complete a lap prepare a drink ) time to! Customers served by a hen ) denote the number of customers served by a hen units into response based... ) of his calls on regular customers gives the number of eggs laid each month by a particular.! Of water measured in liters, or by mail at classify the following random variables as discrete or continuous # 202 MountainView! And accessing cookies in your browser, 091236382866828589466929558292257394847392916739 ) 1/19197363738949595729029283 Make a reasonable estimate based on,... Lung cancer that contain knots of defective computers produced by a manufacturer ( 10 mins. ) that car. Mountainview, CA94041 take positive real values, that means that in the class write their! His calls on regular customers phone at ( 877 ) 266-4919, or continuous classify the following random variables as discrete or continuous. Each year in Virginia 5 Classify the following random variables require that the proofreader will miss at one. Of defective computers produced by a coffee shop per hour one dozen eggs contains no that!

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