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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).

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).

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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**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 \( P(A > B) \).
Transcribed Image Text:**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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