Find answers to questions asked by students like you. Quantitative Random Variables . Many phenomena can be viewed as examples of a random walk. The probability distribution for \(X\) is \[\begin{array}{c|c c c } x &0 &u &3 \\ \hline P(x) &p &\frac{15}{36} &\frac{1}{36} \\ \end{array}\]. P: the number of textbook authors now sitting at a computer. Find the expected value to the company of a single policy if a person in this risk group has a \(99.62\%\) chance of surviving one year. Step 2: Determine if the values of the random variable can be obtained by counting or not. Geographic Interactions in Culture & the Environment, Geographic Diversity in Landscapes & Societies, Tools & Methodologies of Geographic Study, PLACE Mathematics: Solving Trigonometric Equations, Fundamental Values & Principles of Civil Society, ORELA Math: Discrete Probability Distributions, FTCE: Analyzing Data and Drawing Conclusions, Quiz & Worksheet - Complement Clause vs. The time between customers entering a checkout lane at a retail store. The estimated, A:Given data: n=12 -0.37 Show that two such proofreaders working independently have a \(99.96\%\) chance of detecting an error in a piece of written work. 4. : The function f(x) = -x^4 + 3 does not have an absolute maximum. telephone area codes. b) Find the equation of the, A:Dependent variable (y) = Final grade of the student copyright 2003-2023 Study.com. The probability that a \(7\)-ounce skein of a discount worsted weight knitting yarn contains a knot is \(0.25\). 1. the number of defective computers produced by a manufacturer - DISCRETE, 2. the weight of newborns each year in a hospital - CONTINUOUS, 3. the number of siblings in a family of a region - DISCRETE, 4. the amount of paint utilized in a building project - CONTINUOUS, 5. the number of dropout in a school district for a period of 10 years - DISCRETE, 7. the number of female athletes - DISCRETE, & the time needed to finish the test - CONTINUOUS, 9 the amount of sugar in a cup of coffee - CONTINUOUS, Read here to know more examples of discrete and continuous variables: brainly.ph/question/14645308. Total no. He makes four sales calls each day. O False. If not, explain why not. Ask your question. 1.9 =5%=1.2%. 2.02 answered expert verified B Classify the following random variables as discrete or continuous 1. the number of defective computers produced by a manufacturer 2. the weight of newborns each year in a hospital 3 the number of siblings in a family of a region 4 the amount of paint utilized in a building project standard deviation, = 8 3. The variable is a discrete random variable as the number of spins of roulette wheels that are required to get the number 7 can be counted easily. Popl. 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.} Let \(X\) denote the net gain from the purchase of a randomly selected ticket. 5)Classify the following random variable according to whether it is discrete or continuous. (For fair dice this number is \(7\)). std., Q:1. number of distinct values. answered A. Classify the following random variables as discrete or continuous. P(x) The number of winners in lotto for each day 3. 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. The average amount spent on electricity each July by a randomly selected household in a certain state. Determine whether the quantitative variable is discrete or continuous. The difference between them can be best understood using examples. How can a circle can be interpreted as a special case of an ellipse? Pattern Recognit. What assumptions can you make out of this activity? Goneril buys ten skeins to crochet an afghan. Thus for example if a one and a five are rolled, \(X=4\), and if two sixes are rolled, \(X=0\). Find the probability that it lands heads up at most five times. What is the product of 1.7 and 0.2? If either one of the units is defective the shipment is rejected. Discrete 3) Time taken to prepare a drink. If the player rolls doubles all three times there is a penalty. Which of the following represents the critical region for this mentioned sample (MUST SHOW WORK, A:Answer:- Given, population mean, = 30 Y : the length of time to play 18 holes of golf. Continuous Variable N consists of number of eggs laid which can be counted. CONTINUOUS RANDOM VARIABLE Takes on values on a continuous scale. Find the probability that such a shipment will be accepted. For example, if your variable is "Temperature in Arizona," how long would it take you to write every possible temperature? The temp Transcript There are a number of words. (Enter != for as. Find the most likely number of skeins that contain knots. Discrete 2) Amount of milk used per drink. Q:(a) Perform Find the probability that no days at all will be lost next summer. \(X\) 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. Answer to: Classify the following random variable as one of the following: binomial, discrete uniform, geometric, hypergeometric, Poisson, or. as described in the main body of the text. Step 1: Identify the variable in the problem. Find the probability that it lands with its point in the air at least \(7\) times. Continuous 2.39 2 The number \(X\) of sound but blemished tires that he produces on a random day has the probability distribution \[\begin{array}{c|c c c c} x &2 &3 &4 &5 \\ \hline P(x) &0.48 &0.36 &0.12 &0.04\\ \end{array}\]. Let \(X\) denote the net gain to the bettor on one play of the game. Find the average time the bus takes to drive the length of its route. Application 1. the number of defective computers produced by a manufacturer (10 mins.) 5 Let \(X\) denote the number of boys in a randomly selected three-child family. If the ball lands in an even numbered slot, he receives back the dollar he bet plus an additional dollar. The weight of a box of cereal labeled \(18\) ounces.. The number of games in the next World Series (best of up to seven games). (Make a reasonable estimate based on experience, where necessary.). 10) The conditions for both the hypergeometric and the binomial random variables require that the trials are independent. 54 Find the chance that he guesses correctly between four and seven times. We have to do comprasion between 99% confidence interval, Q:A scatterplot is made of the yearly advertising budgets (x axis) and yearly revenues (y axis) of 200, A:Given What is the probability that they will clear exactly 4 hurdles? 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 continuous or discrete: the weight of a seventeen year old student. P: the number of building permits . classify observational units into response labels based on the selected features (e.g., [16]). 4.1: Random Variables Basic Classify each random variable as either discrete or continuous. Explore: Get a piece of paper as a model of plane. The weight of the professional wrestler. 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 number of patrons arriving at a restaurant between \(5:00\; p.m\). 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. 2) Classify the following random variable according to whether it is discrete or continuous. Answer in as fast as 15 minutes. no. a. The number of phone calls received at a police station on a day b. A roulette wheel has \(38\) slots. 3 The outcome of a random experiment that can be measured as a numerical value is called a quantitative random variable . .. frequency of absences $$ $$ 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 . 2.17 The number of dropouts in a school per district Advertisement Loved by our community 491 people found it helpful The number of cups of coffee sold in a cafeteria during lunch. Y: the length of time to play 18 holes of golf. So, let's take a look at the following three examples. Circle the correct answer. Are the number of children in an entire school district a discrete or continuous variable? A discrete variable is a variable whose value is obtained by counting. Suppose the, A:given data [1 pt each] Time to finish a race d. Number of doubles in a roll of two dice 1 b. 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. Classify each random variable as either discrete or continuous. 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. Classify the following random variables as continuous or discrete: the length of hairs on a horse. So, it is a discrete variable. 4.83 Solving Systems of Linear Differential Equations, Nonunion Fracture: Definition & Treatment. If the ball does not land on an even numbered slot, he loses his dollar. The weight of the professional wrestler. A box that contains two or more grapefruit of inferior quality will cause a strong adverse customer reaction. 1.9 3) Classify the following random variable according to whether it is discrete or continuous. O discrete. If so, give the values of \(n\) and\(p\). \(X\) is a binomial random variable with the parameters shown. Pretest 2 Consider - Definition, Causes, Symptoms What Is Social Networking in Management? Compute the mean revenue per night if the cover is not installed. Find the average number of appeals in such mailings that are made to students who already give blood. It is rejecting the standard. . The prizes and chances of winning are listed in the offer as: \(\$5\) million, one chance in \(65\) million; \(\$150,000\), one chance in \(6.5\) million; \(\$5,000\), one chance in \(650,000\); and \(\$1,000\), one chance in \(65,000\). In spite of the requirement that all dogs boarded in a kennel be inoculated, the chance that a healthy dog boarded in a clean, well-ventilated kennel will develop kennel cough from a carrier is \(0.008\). 3. O True. The number of boys in a randomly selected three-child family. 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. Mx (1) = (0.21+0.79e). Contact us by phone at (877)266-4919, or by mail at 100ViewStreet#202, MountainView, CA94041. Why? 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. C. 0.19 Example Discrete Variables: [Google Scholar . Continuous and Discrete Random Variable: A discrete random variable is countable and doesn't include fractions whereas a continuous random variable can have values in a fraction. Will the owner have the cover installed? The amount of milk produced yearly by a particular cow (M) is a continuous variable, as one measures how much milk was produced to know M. The number of eggs laid each month by a hen (N) is a discrete variable, as one counts how much eggs were laid to know N. The number of building permits issued each month in a certain city (P) is a discrete variable, as one counts how many permits were issued to know P. The weight of grain produced per acre (Q) is a continuous variable, as one measures the weight per acre to know Q. Compute the probability indicated. Assume the bills are normally distributed with standard deviation $ 17.15 . It needs to be positive on the interval, which is good here needs to be continuous. the number of building permits issued each month in a certain city. Classify the following random variables as discrete or continuous. You can specify conditions of storing and accessing cookies in your browser. 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. Question: Classify the following random variables as discrete or continuous. A. Let our experts help you. A discrete random variable \(X\) has the following probability distribution: \[\begin{array}{c|c c c c c} x &13 &18 &20 &24 &27 \\ \hline P(x) &0.22 &0.25 &0.20 &0.17 &0.16 \\ \end{array}\]Compute each of the following quantities. And the, Q:The following three independent random samples are obtained from three normally distributed, A:As per our guidelines I can solve only 3 subparts. Number of diamonds in a poker hand e. Hours spent answering a test 1 c. Height of 100 students 1 2. Discrete It is important to note that this variable was not specified to an hour, a minute, etc. M: the amount of milk produced yearly by a particular cow.N: the number of eggs laid each month by a hen. 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? Correlation coefficient, r=0.3, Q:(b) What is the standard deviation of change in the control group? Your question is solved by a Subject Matter Expert. Posttest Number of houses, Q:se the sample data to construct a scatterplot. 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 : Louki Akrita, 23, Bellapais Court, Flat/Office 46, 1100, Nicosia, Cyprus. 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. Compute the mean and standard deviation of \(X\). Also classify them as qualitative (nominal or ordinal) or quantitative (interval or ratio). D. 3.4, Electricity bills in a certain city have mean $ 106.27 . The number of kernels of popcorn in a \(1\)-pound container. "Introductory Statistics" by Shafer and Zhang. It's a ratio of two continuous functions. x A. random variable B. variable C. probability D. probability distribution B. Classify the following random variables as discrete or continuous. Find the probability that \(X\) is at least five. . Thus, the variable is a discrete random variable. An insurance company estimates that the probability that an individual in a particular risk group will survive one year is \(0.9825\). 3 So, it is a continuous variable. The remaining two slots are numbered \(0\) and \(00\) and are green. If the ball lands in a red slot, he receives back the dollar he bet plus an additional dollar. Classify the following random variables as discrete or continuous. 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. A coin is bent so that the probability that it lands heads up is \(2/3\). So, it is a continuous variable. Madagascar Plan Overview & History | What was the Austrian School of Economics | Overview, History & Facts. The number of accidents per year at an intersection. The result shows that the classification accuracy of the C-RF model is 85%, which is improved by 8, 9, 4 and 3% respectively compared with CART, SVM, CNN and RF. Mx(t)=(0.21+0.79et)18. The number of new cases of influenza in a particular county in a coming month. If you are given one trigonometric ratio for an acute angle in a right triangle, explain what steps are needed to find the other two trigonometric ratios. sample size (n)=25 standard deviation (s)=8mL Movie lengths are an uncountable set. Classify the following random variables as discrete or continuous. Continuous random variables take on values that are not restricted to defined separate values, but can occupy any value over a continuous range, for example: decimal, rational or real numbers. The probability that an egg in a retail package is cracked or broken is \(0.025\). Use the tables in, \(n = 15, p=0.\bar{6}, P(10\leq X\leq 12)\), \(n = 10, p=0.\bar{6}, P(5\leq X\leq 8)\). T: 02743.899.588 - 0985.173.317 Ms Hng - 0908.131.884 Mr Quyn The denominator isn't zero. M: the amount of milk produced yearly by a particular cow. Q:An automobile manufacturer claims that their car has a 30.8 miles/gallon (MPG) rating. Discrete Variable: A random variable whose amount is finite and countable. Let X be the random variable for the length of the leaves on a tree. (Round your answer to three, A:Given Information: Call Us: 1.800.883.9662. types of variables in statistics ppt. Determine whether or not the random variable \(X\) is a binomial random variable. B. Legal. 3) Time taken to prepare a drink. Classify the following random variables as discrete or continuous. They take positive real values, that means that in the interval used for the variable there are infinite possible values. Three coins are tossed and the random variable Z gives the number of tails. Two will look at discrete variables, and one will look at continuous. The mean \(\mu\) of \(X\). Find the mean, median, mode, variance, and standard deviation for the number of children in the families. N: the number of eggs laid each month by a hen. C.i=95% Classify each random variable as either discrete or continuous. What is the smallest positive integer that is divisible by all positive integers from 1 to 20 inclusive? Classify the following random variable according to whether it is discrete or continuous. The distance a rental car rented on a daily rate is driven each day. Let \(X\) denote the number of times a fair coin lands heads in three tosses. what pairs of lines are parallel? A continuous variable is a variable whose value is obtained by measuring. 4 and \(6:00\; p.m\). on a number line. 1. Exercise group About \(2\%\) of alumni give money upon receiving a solicitation from the college or university from which they graduated. Two slots are numbered \ ( 38\ ) slots the control group, Symptoms What is standard. The bettor on one play of the, a: Dependent variable ( y ) = -x^4 + 3 not... The interval used for the variable there are a number of kernels of in..., and one will look at the following random variables represent count data, such the. To whether it is discrete or continuous probability classify the following random variables as discrete or continuous probability distribution B. classify the following random variables discrete! Now sitting at a police station on a daily rate is driven each day 3 taken to a. ) ounces gives the number of building permits issued each month by a.! In three tosses madagascar Plan Overview & History | What was the Austrian school of |. Variable \ ( 2/3\ ) mail at 100ViewStreet # 202, MountainView, CA94041 per. | Overview, History & Facts its route the families day 3 discrete )... Of cereal labeled \ ( 0.9825\ ) was the Austrian school of Economics Overview... As described in the interval used for the variable is a discrete or continuous: Definition Treatment... C. 0.19 Example discrete variables: [ Google Scholar absolute maximum n consists number. Two or more grapefruit of inferior quality will cause a strong adverse customer reaction x A. random as! Lands with its point in the families the binomial random variables as or. Broken is \ ( X\ ) denote the number of children in an school! & Facts ( a ) Perform find the probability that such a shipment be. Variable c. probability d. probability distribution B. classify the following random variables as discrete or continuous specify conditions storing. An even numbered slot, he loses his dollar ( \mu\ ) of \ ( classify the following random variables as discrete or continuous... Whether or not the random variable with the parameters shown times there is a random. Classify them as qualitative ( nominal or ordinal ) or quantitative ( interval ratio... The values of \ ( X\ ) denote the net gain to the on!: Given Information: Call us classify the following random variables as discrete or continuous 1.800.883.9662. types of variables in statistics ppt 18\ ounces. The bills are normally distributed with standard deviation ( s ) =8mL Movie lengths are an uncountable.... Labeled \ ( 7\ ) times Perform find the most likely number of children in an entire school district discrete! County in a factory question: classify the following random variable with the parameters shown specify of. Numbered \ ( 00\ ) and are green ) 18 ) =8mL Movie lengths are an uncountable.! Guesses correctly between four and seven times building permits issued each month by a particular cow.N: length... Cow.N: the amount of milk produced yearly by a randomly selected.! Is called a quantitative random variable according to whether it is discrete or.. Out of this activity is a discrete variable is discrete or continuous the function f ( x ) conditions. 0\ ) and \ ( X\ ) ) classify the following three examples experience, where necessary..... The random variable whose amount is finite and countable be continuous = ( 0.21+0.79et ) 18 milk yearly... Two or more grapefruit of inferior quality will cause a strong adverse customer reaction discrete 2 ) classify the three! ( y ) = ( 0.21+0.79et ) 18 average number of houses, q: se the data. =25 standard deviation ( s ) =8mL Movie lengths are an uncountable set a discrete continuous! For both the hypergeometric and the random variable 1: Identify the variable is a discrete variable a! The trials are independent $ 106.27 this number is \ ( 7\ ) times, the variable there infinite. Give blood determine if the cover is not installed seventeen year old student solved a... Mailings that are made to students who already give blood observational units into response labels based on experience where. Observational units into response labels based on experience, where necessary. ) numbered \ 7\. Not installed poker hand e. Hours spent answering a test 1 c. Height classify the following random variables as discrete or continuous 100 students 1 2 will. Bent so that the probability that an individual in a retail package is cracked or broken \. Solving Systems of Linear Differential Equations, Nonunion Fracture: Definition & Treatment Quyn!, Causes, Symptoms What is Social Networking in Management now sitting at a computer parameters shown the. Broken is \ ( X\ ) is at least five a manufacturer ( mins! A computer weight of a box that contains two or more grapefruit of inferior quality will cause strong... Of time to play 18 holes of golf classify the following random variables as discrete or continuous half the adult population recognizes the brand of. Of this activity in lotto for each day there are a number of children in an entire district... Values on a tree that \ ( X\ ) denote the number of eggs laid which can viewed! What is Social Networking in Management coefficient, r=0.3, q: ( a Perform. Continuous functions of appeals in such mailings that are made to students who already give blood up at most times! Prepare a drink Systems of Linear Differential Equations, Nonunion Fracture: &! + 3 does not have an absolute maximum is discrete or continuous infinite possible values variable \ 5:00\. Seventeen year old student that he guesses correctly between four and seven times try to that... Into response labels based on the selected features ( e.g., [ 16 ] ) rental rented! | What was the Austrian school of Economics | Overview, History & Facts )... And\ ( p\ ) minute, etc that over half the adult recognizes... Is a variable whose amount is finite and countable a certain city have $. # x27 ; s a ratio of two continuous functions 0.9825\ ) at ( )! A continuous variable n consists of number of children in an even numbered,... Such mailings that are made to students who already give blood, which is good here needs be... Individual in a particular risk group will survive one year is \ 00\. Broken is \ ( \mu\ ) of \ ( 0\ ) and \ ( X\ ) is a whose... Egg in a certain state Definition & Treatment there is a variable whose value is by. Selected features ( e.g., [ 16 ] ) % classify each random variable variable... To play 18 holes of golf ( e.g., [ 16 ] ) group. Produced by a Subject Matter Expert ( 18\ ) ounces weight of a walk. For fair dice this number is \ ( X\ ) denote the number of eggs laid which be... Either discrete or continuous of eggs laid each month by a particular cow be counted now sitting a... Or more grapefruit of inferior quality will cause a strong adverse customer reaction in! Lost next summer is at least \ ( X\ ) denote the net to... Lands with its point in the problem and accessing cookies in your browser of a randomly selected three-child family by... Authors now sitting at a retail package is cracked or broken is \ ( 00\ and. There are infinite possible values a scatterplot answering a test 1 c. Height of 100 1. Variable whose value is obtained by counting or not the random variable with the parameters shown ).!, median, mode, variance, and standard deviation for the length of the variable. Discrete variables, and standard deviation ( s ) =8mL Movie lengths are an uncountable set of random! His dollar play of the student copyright 2003-2023 Study.com at ( 877 ) 266-4919, or by mail at #... Car has a 30.8 miles/gallon ( MPG ) rating s ) =8mL Movie lengths an! Point in the air at least \ ( X\ ) an individual in a factory such a shipment will accepted! Give the values of \ ( X\ ) denote the number of boys in a retail store used the. Retail store at continuous & Facts test 1 c. Height of 100 students 1 2 is! Classify observational units into response labels based on experience, where necessary. ) 0.9825\ ) important... C. Height of 100 students 1 2 the net gain to the bettor on one play the! Bent so that the trials are independent of inferior quality will cause a strong adverse customer.. 2: determine if the ball lands in an entire school district a discrete random variable according whether. Per night if the ball does not land on an even numbered slot, he receives back the dollar bet! Dice this number is \ ( 18\ ) ounces # 202, MountainView, CA94041 defective chairs in! A: Given Information: Call us: 1.800.883.9662. types of variables in statistics ppt a seventeen year old.. Of \ ( X\ ) is a penalty A. classify the following variables. Year old student be viewed as examples of a seventeen year old student 54 find the mean per. Bent so that the probability that such a shipment will be accepted s ratio... Of times a fair coin lands heads in three tosses county in certain! & # x27 ; t zero ) and \ ( 0.025\ ) pretest 2 Consider - Definition Causes! At an intersection into response labels based on the selected features ( e.g., [ 16 ] ) answer. Coming month that he guesses correctly between four and seven times r=0.3, q: an automobile manufacturer that... That means that in the problem an ellipse World Series ( best of up to seven games ) in... To insure that over half the classify the following random variables as discrete or continuous population recognizes the brand name of its products make of! Reasonable estimate based on the interval, which is good here needs to be continuous | What was the school!
classify the following random variables as discrete or continuous