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- Calculate the mean value (expected value) of the following discrete variable x: x-0, 1, 2, 3, 4, 5, 6 %3D p(x) 3D 0.2, 0.2, , 0.05 0.15,0.15, 0.15, 0.1A survey of all the students in your school yields the following probability distribution, where X is the number of movies that a selected student has seen in the past week. 0 1 2 3 4 Number of Movies Probability 0.1 0.5 0.1 0.1 0.2 Compute the expected value u and the standard deviation o of X. (Round answers to one decimal place.) H = 1.8 movies O = 2.2 |× movies For what percentage of students is X within two standard deviations of µ? % Need Help? Read It Master ItGiven the probability distributions shown to the right, complete the following parts. Distribution A Distribution B a. Compute the expected value for each distribution. b. Compute the standard deviation for each distribution. c. What is the probability that x will be at least 3 in Distribution A and Distribution B? d. Compare the results of distributions A and B. P(X = x,) P(X = x;) 0.46 0.03 0.25 1 0.12 0.14 2 0.14 2. 0.12 3 0.25 4. 0.03 4. 0.46 (Type an integer or decimal rounded to three decimal places as needed.) b. What is the standard deviation for distribution A? (Type an integer or decimal rounded to three decimal places as needed.) What is the standard deviation for distribution B? (Type an integer or decimal rounded to three decimal places as needed. c. What is the probability that x will be at least 3 in Distribution A? Next View instructor tip Help me solve this Get more help - 936 PM 70°F NO 21 P Type here to search 37/2022 CON & %23 2. R T. Y E tab 57 K S F. G D Cans lock…
- Given the probability distributions shown to the right, complete the following parts. a. Compute the expected value for each distribution. b. Compute the standard deviation for each distribution. c. What is the probability that x will be at least 3 in Distribution A and Distribution B? d. Compare the results of distributions A and B.As determined from long experience, the number of automobiles rented per hour, X, at the Rent-A Car counter at Honolulu International Airport has the following probability distribution. Automobiles Rented Probability 0 .10 1 .25 2 .45 3 “a” 4 .05 Find the probability of renting between 2 and 4 automobiles (including 2 and 4).Dr. Wilson is considering investing a fixed sum of money in each of three business ventures. Assume that the probability distribution for the number of successful ventures out of three is as follows: X P(X) 0 .022 1 .194 2 .434 3 .350 What is the expected value for the number of successful ventures? What is the standard deviation for the number of successful ventures? What is the probability that Dr. Wilson will enjoy at least two successful ventures? What is the probability that Dr. Wilson will enjoy no successful ventures?
- Given the probability distributions shown to the right, complete the following parts. a. Compute the expected value for each distribution. b. Compute the standard deviation for each distribution. c. What is the probability that x will be at least 3 in Distribution A and Distribution B? d. Compare the results of distributions A and B. Distribution A Distribution B xi P(X=xi) xi P(X=xi) 0 0.03 0 0.46 1 0.11 1 0.23 2 0.17 2 0.17 3 0.23 3 0.11 4 0.46 4 0.03 Question content area bottom Part 1 a. What is the expected value for distribution A? μ=enter your response here (Type an integer or decimal rounded to three decimal places as needed.) Part 2 What is the expected value for distribution B? μ=enter your response here (Type an integer or decimal rounded to three decimal places as needed.) Part 3…Let Y = 3X – 1, where X is a random variable that is distributed uniformly from 10 to 50. Answer the following questions.a. What is the probability that X takes any value from 20 to 30? Draw the distribution and identify this probability in the distribution. Show your calculations.b. Calculate the expected value of X in addition to the variance and standard deviation of X. Show your calculations.c. Calculate the expected value of Y in addition to the variance and standard deviation of Y. Show your calculations.