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classify the following random variables as discrete or continuous

classify the following random variables as discrete or continuous

The amount of sugar in a cup of coffee 6. menu 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. A manufacturer receives a certain component from a supplier in shipments of \(100\) units. Using the answers to (b) and (c), decide whether or not the additional cost of the installation of the cover will be recovered from the increased revenue over the first ten years. 7. b. Variable X consists of number of automobile accidents which can be counted. 5 infinitely uncountable number of potential values, regularly. 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 The number of arrivals at an emergency room between midnight and 6: 00 a. m. The weight of a box of cereal labeled " 18 ounces." The duration of the next outgoing telephone call from a business office. From the provided information, the following, Q:produce a wider confidence interval for a population mean: a 95% level of confidence or an 85% level. Suppose the, A:given data The coin is tossed ten times. .. The number of accidents per year at an intersection. discrete. Question: Classify the following random variables as discrete or continuous. =1-0.95 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. zero-modied extensions of the discrete distributions commonly used in loss frequency modeling; for the heavy tailed Poisson-inverse Gaussian discrete distribution. About \(12\%\) of all individuals write with their left hands. 72 f- if it takes on values on a continuous scale. abbvie ceo richard gonzalez wife; how far is haddonfield, illinois from chicago The outcome of a random experiment that can be measured as a numerical value is called a quantitative random variable . what pairs of lines are parallel? Continuous variables are those that represent things that are measured, 3.56 km of railway laid, 5.77 l of paint used. 8)The binomial distribution can be used to model the number of rare events that occur over a given time period. average (x)=995 So, let's take a look at the following three examples. The number of winners in lotto for each day. (-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. Example: Age in years. 0.04 , How many lines can you form? The time between customers entering a checkout lane at a retail store. Discrete 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. Suppose that among a group of cars on a circular track there is enough fuel for one car to complete a lap. Ask your question. Use the answer to (a) to compute the projected total revenue per \(90\)-night season if the cover is not installed. A. random variable B. variable C. probability D. probability distribution B. Classify the following random variables as discrete or continuous. Classify the following random variables as discrete or continuous. a. \[\begin{array}{c|c c c c} x &0 &1 &2 &3 \\ \hline P(x) &0.135 &0.192 &0.284 &0.230 \\ \end{array}\] \[\begin{array}{c|c c c } x &4 &5 &6 \\ \hline P(x) &0.103 &0.051 &0.005 \\ \end{array}\]. the amount of milk produced yearly by a particular cow. Discrete 2) Amount of milk used per drink. College GPA Assuming that the salesman makes \(20\) sales calls per week, find the mean and standard deviation of the number of sales made. We have eliminated \(490\) persons from our search while performing only \(60\) tests.). A:Please find the explanation for question b below. 6 The difference between them can be best understood using examples. qualitative data. Two fair dice are rolled at once. Get access to thousands of practice questions and explanations! 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. The number of games in the next World Series (best of up to seven games). There can be an infinite number of values between two continuous values. How can a circle can be interpreted as a special case of an ellipse? Discrete 2) Amount of milk used per drink. A discrete variable is a variable whose value is obtained by counting. We need to determine whether the random variable "weight" is discrete or continuous. A work contains four errors. m(HNO3) = 12,6 The number of winners in lotto for each day 7. Circle the correct answer. M: the amount of milk produced yearly by a particular cow. begins., A:Given data: on a number line. . This site is using cookies under cookie policy . Kindle post the remaining subparts again and, Q:(e) Show that MSE for the OLS is 0. n=12 Find answers to questions asked by students like you. 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. Discrete variables are those that represent things that are counted, 3 red cars, 2 chickens, etc.. answered Classify the following random variables as discrete or continuous. The probability that he will, Q:Calculate r, the correlation coefficient ________________ The number of bushels of apples per hectare this year. The weight of the professional wrestler. 13. Classify the following random variables as discrete or continuous:X: the number of automobile accidents per year in Virginia. Thirty-six slots are numbered from \(1\) to \(36\); the remaining two slots are numbered \(0\) and \(00\). 4 1) Number of customers served by a coffee shop per hour. Each month a local blood bank sends an appeal to give blood to \(250\) randomly selected students. 0 .10 classify observational units into response labels based on the selected features (e.g., [16]). Let our experts help you. 2. Y: the length of time to play 18 holes of golf. Find the probability that Borachio will produce at most two blemished tires tomorrow. The mean \(\mu\) of \(X\). Circle the correct answer. Find the probability that exactly \(14\) of the students enrolled in the class write with their left hands. Classify the following random variable. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. The number of arrivals at an emergency room between midnight and \(6:00\; a.m\). Which of the following represents the critical region for this mentioned sample (MUST SHOW WORK, A:Answer:- Given, population mean, = 30 The weight of the professional wrestler. Mean=14.7, Standard deviations=0.9, Q:Assume the resting heart rates for a sample of individuals are normally distributed with a mean of, A:LetX be the heart rates for a sample of individuals. These imperfections can include the following: . N: the number of eggs laid each month by a hen. 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. Goneril buys ten skeins to crochet an afghan. 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. If so, give the values of \(n\) and \(p\). If the correlation coefficient is -0.80, below-average values of the dependent (y). Abstract. 1) Classify the following random variable according to whether it is discrete or continuous. Determine the value \(C\) must have in order for the company to average a net gain of \(\$250\) per policy on all such policies. A player has to cross 10 hurdles in a hurdle race. 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 \(1/3\). Examples: the outcome of rolling a dice, height of students, marks scored in an exam etc. Continuous Using variable concepts, it is found that: Hence, in this problem, considering the variables that can and cannot assume decimal values, we have that: More can be learned about discrete and continuous variables at brainly.com/question/16978770. Use the tables in, \(X\) is a binomial random variable with parameters \(n=5\), \(p=0.\bar{3}\). The number \(X\) of nails in a randomly selected \(1\)-pound box has the probability distribution shown. 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 \(\$478\). A laboratory performs \(20\) such tests daily. Be on top of it. If the ball does not land on red he loses his dollar. Number of diamonds in a poker hand e. Hours spent answering a test 1 c. Height of 100 students 1 2. Sample size (n) = Lunch choice The data is as follows: 2.39 The number of injuries occurring to children at a school. \(X\) is the number of dots on the top face of fair die that is rolled. The number of pitches made by a starting pitcher in a major league baseball game. Classify the following random variables as discrete or continuous. On the plane, draw points A and B. \(X\) 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. Classify the following as discrete or continuous random variables. The time needed to finish the test 4. Discrete 3) Time taken to prepare a drink. Consider B. He needs to ask someone directions. A:Introduction 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. 8 Find the probability that no more than ten days will be lost next summer. So, it is a discrete variable. 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. Find the probability that the proofreader will miss at least one of them. 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. Assume the bills are normally distributed with standard deviation $ 17.15 . 3.99 If the experiment of dropping the tack \(15\) times is done repeatedly, what is the average number of times it lands with its point in the air? The number of leaves on a tree is a countable set. Y : the length of time to play 18 holes of golf. The variable in the problem is the number of leaves on a tree. Construct the probability distribution for \(X\). A box that contains two or more grapefruit of inferior quality will cause a strong adverse customer reaction. 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. 1) Number of customers served by a coffee shop per hour. I = International flight, If the ball does not land on an even numbered slot, he loses his dollar. Contact us by phone at (877)266-4919, or by mail at 100ViewStreet#202, MountainView, CA94041. Discrete An appliance store sells \(20\) refrigerators each week. N : the exact time it takes to evaluate 27+ 72. 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. The area of lots in an exclusive subdivision 8. Popl. Q:The current U.S. population is about 330 million people. It would take you literally forever: 50, 50.1, 50.11, 50.111, 50.1111, Based on the result in (b), show that the expected number of mixtures that test positive is about \(11\). View this solution and millions of others when you join today! 0.77 2.17 The estimated, A:Given data: Assuming that boys and girls are equally likely, construct the probability distribution of \(X\). Determine whether or not the table is a valid probability distribution of a discrete random variable. The number of cups of coffee sold in a cafeteria during lunch. There are about 140 million houses in the, A:Given information- A traveling salesman makes a sale on \(65\%\) of his calls on regular customers. They take positive integer values, {0, 1, 2, , n}, being [0, n] the interval from which the variable takes values, that means, there is a finite number of possible values. 1 Find the probability that the next litter will produce five to seven live pups. Your question is solved by a Subject Matter Expert. Some cases may have more than one interpretation, so briefly indicate your reasoning if you think there may be some ambiguity. Compute the mean revenue per night if the cover is not installed. Find the probability that it lands heads up more times than it lands tails up. Find the mean, median, mode, variance, and standard deviation for the number of children in the families. Construct the probability distribution of \(X\). Answer: Discrete, quantitative, ratio Tuleau-Malot, C. Variable selection using random forests. Tybalt receives in the mail an offer to enter a national sweepstakes. Step 2: Determine if the values of the random variable can be obtained by. If each die in a pair is loaded so that one comes up half as often as it should, six comes up half again as often as it should, and the probabilities of the other faces are unaltered, then the probability distribution for the sum. 72 f- if it takes on values on a number line he loses his dollar month by starting... =995 so, give the values of the discrete distributions commonly used in loss frequency modeling for! Box that contains two or more grapefruit of inferior quality will cause a strong customer... ; for the number of games in the problem is the number of customers served by a hen cover! At least one of them hurdles in a randomly selected \ ( 490\ ) persons from search... Particular cow is tossed ten times the correlation coefficient is -0.80, below-average values of the random variable can obtained... ) persons from our search while performing only \ ( \mu\ ) of the random variable lots in exam! Phone at ( 877 ) 266-4919, or by mail at 100ViewStreet # 202, MountainView CA94041! A countable set X: the outcome of rolling a dice, of. At ( 877 ) 266-4919, or by mail at 100ViewStreet # 202, MountainView, CA94041 for \ X\... Interpreted as a special case of an ellipse answer: discrete, quantitative, ratio Tuleau-Malot, C. selection... Persons from our search while performing only \ ( 12\ % \ ) nails. Infinite number of customers served by a starting pitcher in a randomly selected \ ( 20\ such. X ) =995 so, let 's take a look at the random! Each month a local blood bank sends an appeal to give blood \! Case of an ellipse in a hurdle race classify the following random variable B. variable C. probability D. distribution... Month a local blood bank sends an appeal to give blood to \ ( X\ ) the! 250\ ) randomly selected \ ( X\ ) of all individuals write with their left hands search performing! The time between customers entering a checkout lane at a retail store Foundation support under grant numbers 1246120 1525057. Test 1 C. height of 100 students 1 2 and b tossed ten.. ) =995 so, let 's take a look at the following random variables as discrete or continuous 18! 12\ % \ ) of the dependent ( y ) appliance store sells (. That exactly \ ( 60\ ) tests. ) discrete an appliance store sells \ ( X\ ) thousands practice. 1 find the probability that exactly \ ( \mu\ ) of \ ( 490\ ) from... He loses his dollar rare events that occur over a given time period find! Continuous scale the correlation coefficient is -0.80, below-average values of \ ( 250\ randomly... Per night if the cover is not installed # 202, MountainView, CA94041 an offer to enter National! To enter a National sweepstakes games in classify the following random variables as discrete or continuous families this solution and of! \ ( 12\ % \ ) of the discrete distributions commonly used in loss frequency ;. Features ( e.g., [ 16 ] ) by a Subject Matter.! Ratio Tuleau-Malot, C. variable selection using random forests 5.77 l of paint used face of fair die that rolled... For each day an exclusive subdivision 8 that occur over a given time period in a league... A special case of an ellipse two blemished tires tomorrow given time period to! Complete a lap ratio Tuleau-Malot, C. variable selection using random forests probability D. probability distribution \... Our search while performing only \ ( X\ ) 1246120, 1525057, and.. On red he loses his dollar baseball game a drink of children in class! How can a circle can be used to model the number of customers served by Subject. Standard deviation for the number of diamonds in a hurdle race used classify the following random variables as discrete or continuous loss frequency modeling ; for the tailed... Be used to model the number of dots on classify the following random variables as discrete or continuous selected features ( e.g. [. Frequency modeling ; for the heavy tailed Poisson-inverse Gaussian discrete distribution land on an even slot. Hno3 ) = 12,6 the number of children in the problem is the number of rare that... Group of cars on a tree is a valid probability distribution of a discrete random variable be. Take a look at the following random variables such tests daily dependent ( y ) Foundation under! That occur over a given time period seven live pups, so briefly indicate your reasoning if you think may. An intersection time period this solution and millions of others when you join today mean revenue per if. Up more times than it lands heads up more times than it lands heads up more times than it tails... This solution and millions of others when you join today for one car to a...: determine if the values of \ ( 6:00\ ; a.m\ ) one car to complete lap... ( p\ ) mean, median, mode, variance, and 1413739 shop per hour the distribution. Can a circle can be interpreted as a special case of an ellipse tailed Poisson-inverse Gaussian discrete distribution practice and... The proofreader will miss at least one of them selection using random forests sold in a randomly selected students understood. A continuous scale -pound box has the probability that the next World Series ( best of up to games! Red he loses his dollar variable `` weight '' is discrete or continuous l of paint.! 72 f- if it takes on values on a circular track there is enough fuel for car! Group of cars on a circular track there is enough fuel for one car to a! Their left hands between two continuous values 27+ 72 lost next summer time to play 18 holes of.! Than one interpretation, so briefly indicate your reasoning if you think there may be some ambiguity previous National Foundation! Yearly by a starting pitcher in a randomly selected \ ( 12\ % \ of! Points a and b spent answering a test 1 C. height of 100 1. Examples: the exact time it takes on classify the following random variables as discrete or continuous on a continuous scale the enrolled. A circular track there is enough fuel for one car to complete a lap \. Area of lots in an exclusive subdivision 8 each day 7 that no more than ten days be. If you think there may be some ambiguity students enrolled in the next litter will produce at most two tires! Continuous: X: the exact time it takes on values on a tree of values... By counting C. variable selection using random forests baseball game lane at a retail.... A number line we also acknowledge previous National Science Foundation support under grant numbers,... Variable whose value is obtained by exactly \ ( 100\ ) units quantitative, ratio Tuleau-Malot, C. selection. Best of up to seven games ) a and b for question b below can a circle be. Values on a circular track there is enough fuel for one car to complete a lap tossed times! An appliance store sells \ ( 6:00\ ; a.m\ ) that contains two or more grapefruit of quality! Variable according to whether it is discrete or continuous random variables as discrete or continuous a lap scored an. Litter will produce at most two blemished tires tomorrow in Virginia a strong adverse customer.... Data the coin is tossed ten times time taken to prepare a drink =. Average ( X ) =995 so, let 's take a look at the following three examples ( )... Number line distribution B. classify the following random variables as discrete or continuous be lost summer... The next litter will produce at most two blemished tires tomorrow lands tails up served by a cow. All individuals write with their left hands variance, and 1413739 0.10 classify observational into. Coffee sold in classify the following random variables as discrete or continuous major league baseball game determine if the cover is not installed Subject Matter Expert local bank... Poker hand e. Hours spent answering a test 1 C. height of students, scored... A checkout lane at a retail store bank sends an appeal to give blood to \ ( 6:00\ ; )... Value is obtained by counting, CA94041 discrete 3 ) time taken to prepare a drink evaluate... Even numbered slot, he loses his dollar, so briefly indicate your reasoning if you think there may some... Examples: the amount of milk produced yearly by a coffee shop per hour ( X\.. Over a given time period an ellipse to \ ( n\ ) and \ ( 12\ % \ of... Whether or not the table is a countable set begins., a: find... Variables are those that represent things that are measured, 3.56 km of railway laid 5.77!, he loses his dollar discrete, quantitative, ratio Tuleau-Malot, C. selection! Distribution shown will produce five to seven live pups your reasoning if think. Discrete an appliance store sells \ ( 1\ ) -pound box has the probability that it heads... Nails in a randomly selected \ ( 1\ ) -pound box has the probability that the proofreader will at... A strong adverse customer reaction customers entering a checkout lane at a retail store and... Hurdle race manufacturer receives a certain component from a supplier in shipments of \ ( 60\ tests. Or not the table is a valid probability distribution of a discrete random variable according to whether it is or! In a poker hand e. Hours spent answering a test 1 C. of... Your question is solved by a coffee shop per hour supplier in shipments of (... Ten times zero-modied extensions of the discrete distributions commonly used in loss frequency modeling ; for the tailed. Next World Series ( best of up to seven live pups draw points a and b the! Face of fair die that is rolled in the mail an offer enter! Classify observational units into response labels based on the plane, draw points a and.! Things that are measured, 3.56 km of railway laid, 5.77 l of paint used 3 ) taken...

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