The accompanying data represent the ideal number of children for a random sample of 900 adults. Complete parts (a) through (d) below.E Click the icon to view the data about ideal numbers of children......(a) Construct a discrete probability distribution for the random variable x.x (# of children)(x)d1.34.5.(Round to three decimal places as needed.)(b) Draw a graph of the probability distribution. Choose the correct graph below.O A.Ideal Numberof ChildrenO D.Ideal Numberof ChildrenIdeal Numberof ChildrenIdeal Numberof Children0.6-0.5+0.4-0.6-0.5구0.6-0.5-0.4-0.6-0.5-0.4-0.3-0.2-0.1-0.3-0.2-0.3-0.2-0.1-.4-20.3-0.2-0.1-C 0.1-01234 56Number of Children0-01234 560-01234 560123456Number of ChildrenNumber of ChildrenNumber of Children(c) Compute and interpret the mean of the random variable X.The mean ischildren.(Round to one decimal place as needed.)Which of the following interpretations of the mean is correct?F3eftTIProbabilityProbabilityProbabilityProbability The accompanying data represent the ideal number of children for a random sample of 900 adults. Complete parts (a) through (d) below.Click the icon to view the data about ideal numbers of children......(Round to three decimal places as needed.)(b) Draw a graph of the probability distribution. Choose the correct graph below.O A.OD.Ideal Numberof ChildrenIdeal Numberof Children0.60.5-0.4Ideal Numberof ChildrenIdeal Numberof Children0.6-0.5-0.4-0.3-0.2-0.1-0.6-0.5-0.6-0.5-0.4-0.3-0.2-0.1-.3-0.2.4-0.3-0.2-0.1-0.1-012345601234560123456Number of ChildrenNumber of ChildrenNumber of ChildrenNumber of Children01234 56(c) Compute and interpret the mean of the random variable X.The mean ischildren.(Round to one decimal place as needed.)Ideal number of children dataWhich of the following interpretations of the mean is correct?x (# of children)| Frequency11O A. If any number of adults were surveyed, one would expect the mean ideal number of children to be the mean of the random variable.B. The observed ideal number of children will be equal to the mean ideal number of children for most adults.512O C. The observed ideal number of children will be less than the mean ideal number of children for most adults.2596818O D. If many adults were surveyed, one would expect the mean ideal number of children to be the mean of the random variable.(d) Compute the standard deviation of the random variable X.9.The standard deviation ischildren.(Round to one decimal place as needed.)PrintDoneUSCProbabilityProbabilityProbability32101234t56Probability400050065432 10

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MATLAB: An Introduction with Applications

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D O D QD 旋转文档日单页0双页,同连续间读背景。划词翻译截屏。压缩全屏显示播放 In Alpha College, students are required to join at least one school club to get extra-curriculum activities' marks. Suppose the following table represents the probability distribution function of the number of clubs (X) a student join: 1 3 4. P(X = x) 0.1 2k k + 0.1 k (a) nd the value of k, (b) Wha is the probability thata student joins at met two clubs? Find var(X) and 0 (X). d) Suppose the membership fee is $100 per club, with the first enrolled club is free of charge. Let Y be the total membership fee a student pay. Compute E(Y) and o(Y). (e) What percentage of students are paying not less than $200 for the total membership fee? (f) Write a simple paragraph (about 30 -50 words) to summarize the total membership fee a student paying for joining school club(s) (based on the results in parts (d) and (e)).
For the experiment described below, let x determine a random variable, and use your knowledge of probability to prepare a probability distribution. Three balls are drawn (with replacement) from a bag that contains 6 white balls and 3 blue balls. The number of blue balls is counted. A probability distribution for the given experiment is as follows. X P(x) 0 1 2 3 (Round to four decimal places as needed.)
Let X = {Email, In Person, Instant Message, Text Message}; P(Email) = 0.06 P(In Person) = 0.55 P(Instant Message) = 0.24 P(Text Message) = 0.15 Is this model a probability distribution? A. Yes. B. No. C. Maybe.
A pencil company has four extruders for making pencil lead. The maintenance manager has determined from historical data that the following table describes the distribution of the number of extruders down (out of operation) on any given day: y 0 1 2 3 4 P(y) 0.5 0.3 0.1 0.05 0.05 a. Find the probability that three or more extruders are down. b. Find the probability that fewer than one extruder is down. c. Find the expected number of extruders down. d. Find the population variance and the population standard deviation for the number of extruders down.
The following is the probability distribution for calls arrived at a switchboard of one of leading companies: No. Calls (X) P(X) 0.14 0.37 12 0.24 18 What is the Mean no. of Calls (p)? (Write your answer to the nearest 2 decimals)
Assume that 12 jurors are randomly selected from a population in which 80% of the people are Mexican-Americans. Refer to the probability distribution table below and find the indicated probabilities. xx P(x)P(x) 0 0+ 1 0+ 2 0+ 3 0.0001 4 0.0005 5 0.0033 6 0.0155 7 0.0532 8 0.1329 9 0.2362 10 0.2835 11 0.2062 12 0.0687 Find the probability of exactly 7 Mexican-Americans among 12 jurors. Round your answer to four decimal places.P(x=7)=P(x=7)= Find the probability of 7 or fewer Mexican-Americans among 12 jurors. Round your answer to four decimal places.P(x≤7)=P(x≤7)= Does 7 Mexican-Americans among 12 jurors suggest that the selection process discriminates against Mexican-Americans? no yes
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Q P.6: On its way, a car meets 4 traffic lights, and the probability that each of them will be red is 0.5. Let X be a discrete random variable equal to the number of traffic lights that were green when the car arrived. X may take the values of 0, 1, 2, 3, 4. (Assume traffic lights are independent.) What is the probability distribution of X? The probability distribution of X is 3 4 p(x) 0.5 0.25 0.125 0.0625 0.0625 The probability of distribution of X is 3 p(x) 0.5 0.5 0.25 0.125 The probability of distribution of X is 3 4 p(x) 0.5 0.25 0.5 0.25 0.125 The probability distribution of X is 1 3 4 p(x) | 0.5 || 0.5 || 0.5 | 0.5 || 0.5 The probability of distribution of X is 3 4 p(x) || 0.0625 0.0625 0.125 0.25 0.5
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The following table provides the joint probability distribution of X and Y y3(0 -1 12 12 1 1 12 12 1 12 12 then P(y<2/x=1)%3D none 1 12 2. -10-16-16 2/30/4

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..... (a) Construct a discrete probability distribution for the random variable x. x (# of children) P(x) 1 2 3 4 (Round to three decimal places as needed.)