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Parts a, b, and d and explian how it was done. DON'T USE EXCEL, please do the work manually if you can

Parts a, b, and d and explian how it was done. DON'T USE EXCEL, please do the work manually if you can

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Parts a, b, and d and explian how it was done.

DON'T USE EXCEL, please do the work manually if you can 

5.28 Variable life insurance return rates. Refer to the International Journal of Statistical Distributions (Vol. 1, 2015) study of a variable life insurance policy, Exercise 4.97 (p. 239). Recall that a ratio (x) of the rates of return on the investment for two consecutive years was shown to have a normal distribution, with μ = 1.5 and o= .2. Consider a random sample of 100 variable life insurance policies and let a represent the mean ratio for the sample. a. Find E(T) and interpret its value. b. Find Var(x). c. Describe the shape of the sampling distribution of . d. Find the z-score for the value = 1.52. e. Find P(x > 1.52). f. Would your answers to parts a-e change if the rates (x) of return on the investment for two consecutive years was not normally distributed? Explain.
Transcribed Image Text:5.28 Variable life insurance return rates. Refer to the International Journal of Statistical Distributions (Vol. 1, 2015) study of a variable life insurance policy, Exercise 4.97 (p. 239). Recall that a ratio (x) of the rates of return on the investment for two consecutive years was shown to have a normal distribution, with μ = 1.5 and o= .2. Consider a random sample of 100 variable life insurance policies and let a represent the mean ratio for the sample. a. Find E(T) and interpret its value. b. Find Var(x). c. Describe the shape of the sampling distribution of . d. Find the z-score for the value = 1.52. e. Find P(x > 1.52). f. Would your answers to parts a-e change if the rates (x) of return on the investment for two consecutive years was not normally distributed? Explain.
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