In each of tthe following cases, Y is a Gaussian random variable. Find the expected value μ = E[Y]. a) Y has standard deviation σ = 10 and P[Y ≤ 10] = 0.933 b) Y has standard deviation σ = 10 and P[Y ≤ 0] = 0.0.067 c) Y has standard deviation σ and P[Y ≤ 10] = 0.977 (Find μ as a function of σ.) d) P[Y > 5] = 0.5

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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In each of tthe following cases, Y is a Gaussian random variable. Find the expected value μ = E[Y].

a) Y has standard deviation σ = 10 and P[Y ≤ 10] = 0.933

b) Y has standard deviation σ = 10 and P[Y ≤ 0] = 0.0.067

c) Y has standard deviation σ and P[Y ≤ 10] = 0.977 (Find μ as a function of σ.)

d) P[Y > 5] = 0.5

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