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

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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The following is a probability distribution for the number of Mexican-American jurors, X, on a 12 person jury. The jury was randomly selected from a population in which 70% of the people are Mexican-Americans. 1 2 3 4 5 6 7 8 9. 10 11 12 X P(X= x) 0.000 0.000 0.0000.001 0.008| 0.029 0.0790.158 0.231 0.240 0.168 0.071|0.014 a. Use the special addition rule and the probability distribution to determine P(X > 5). P(X 2 5) =O b. Use the special addition rule and the probability distribution to determine P(X= 3). P(X= 3) = ]
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.
Which of the following tables represents a valid discrete probability distribution? X P(X=x) X P(X=X) X P(X=x) X P(X=x) 5 0.51 1 0.23 0 10 15 0.03 0.03 3 0.03 1 0.33 0.15 3 0.24 5 0.15 2 0.27 20 0.39 7 9 0.17 0.19 3 0.19 25 30 0.15 0.01 12 11 0.02 4 5 1.01 0.06 6 9 15 18 0.22 0.23 0.12 -0.03 0.43
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
solve the following
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
Let y denote the number of broken eggs in a randomly selected carton of one dozen eggs. Suppose that the probability distribution of y is as follows. y 0 1 2 3 4 p(y) 0.63 0.19 0.11 0.05 ? (a) Only y values of 0, 1, 2, 3, and 4 have positive probabilities. What is p(4)? (Hint: Consider the properties of a discrete probability distribution.) p(4) = Calculate P(y ≤ 2), the probability that the carton contains at most two broken eggs. P(y ≤ 2) = Calculate P(y < 2), the probability that the carton contains fewer than two broken eggs. P(y < 2) =
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(c) Determine a probability distribution for the random variable, X, the number of credit cards issued to an individual. x (# of cards) P(x) x (# of cards) P(x) 0.14 0.01 0.31 7 0.03 3 0.30 8 0.02 4 0.10 9 0.02 0.06 10 0.01 (Type integers or decimals. Do not round.)

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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.)