[-74 The variable X has a normal distribution with mean u = 100 and standard deviation o = 8. The variable Y has a normal distribution with mean u = 85 and standard deviation a = 6. Variables X and Y are independent. (a) Find the mean, u, and standard deviation, o, of the sum X + Y. (b) Find the mean, u, and standard deviation, o, of the difference X - Y.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
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1-74
The variable X has a normal distribution with mean u = 100 and standard deviation o = 8. The variable Y has a normal distribution with mean u = 85 and standard deviation a
= 6. Variables X and Y are independent.
(a) Find the mean, u, and standard deviation, o, of the sum X + Y.
(b) Find the mean, u, and standard deviation, o, of the difference X - Y.
Transcribed Image Text:1-74 The variable X has a normal distribution with mean u = 100 and standard deviation o = 8. The variable Y has a normal distribution with mean u = 85 and standard deviation a = 6. Variables X and Y are independent. (a) Find the mean, u, and standard deviation, o, of the sum X + Y. (b) Find the mean, u, and standard deviation, o, of the difference X - Y.
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