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5(b). Suppose now that X1, X2, X3 and X4 are all independent random variables, each having the normal distribution given in part (a) of this question (i.e. with mean 11 and variance 16). Define T4 and X by T4 = X1 +X2 + X3 + X4, X = (X1 + X2 + X3 + X4) / 4. (i) Find Prob( X > 13). (ii) Find Prob(T4 < 40). (iii) Discuss in common sense terms the relation between your answer to Question 5(a)(i) and your answer to Question 5(b)(i).

5(b). Suppose now that X1, X2, X3 and X4 are all independent random variables, each having the normal distribution given in part (a) of this question (i.e. with mean 11 and variance 16). Define T4 and X by T4 = X1 +X2 + X3 + X4, X = (X1 + X2 + X3 + X4) / 4. (i) Find Prob( X > 13). (ii) Find Prob(T4 < 40). (iii) Discuss in common sense terms the relation between your answer to Question 5(a)(i) and your answer to Question 5(b)(i).

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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Part B please .:)

5(a). The random variable X has a normal distribution with mean 11 and variance 16. Find: (i) Prob (X > 13), (ii) the number A such that Prob(X < A) = 0.8438. 5(b). Suppose now that X1, X2, X3 and X4 are all independent random variables, each having the normal distribution given in part (a) of this question (i.e. with mean 11 and variance 16). Define T4 and X by T4 = X1 + X2 +X3 + X4, X = (X1+ X2 +X3 + X4) / 4. (i) Find Prob( X > 13). (ii) Find Prob(T4 < 40). (iii) Discuss in common sense terms the relation between your answer to Question 5(a)(i) and your answer to Question 5(b)(i).
Transcribed Image Text:5(a). The random variable X has a normal distribution with mean 11 and variance 16. Find: (i) Prob (X > 13), (ii) the number A such that Prob(X < A) = 0.8438. 5(b). Suppose now that X1, X2, X3 and X4 are all independent random variables, each having the normal distribution given in part (a) of this question (i.e. with mean 11 and variance 16). Define T4 and X by T4 = X1 + X2 +X3 + X4, X = (X1+ X2 +X3 + X4) / 4. (i) Find Prob( X > 13). (ii) Find Prob(T4 < 40). (iii) Discuss in common sense terms the relation between your answer to Question 5(a)(i) and your answer to Question 5(b)(i).
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