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

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 31CR
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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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