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).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 20E
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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).
Transcribed Image Text: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).
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