**Exercise 10.** Suppose that \( A \sim N(1, 4) \), \( B \sim N(-2, 9) \), and assume that \( A \) and \( B \) are **independent**.(b) What is the distribution of \( A - B \)? Make sure you give the numerical values of \( E(A - B) \) and \( \text{var}(A - B) \).(c) Compute \( P(A > B) \).

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Answered: Exercise 10. Suppose that A - N(1,4), B…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Exercise 10. Suppose that A - N(1,4), B ~ N(-2,9), and assume that A and B are independent. (b) What is the distribution of A – B? Make sure you give the numerical values of E(A – B) and var(A – B). (c) Compute P(A > B).