Assume that X is normally distributed with a mean of 10 and a standard deviation of 2. Determine the value for x that solves each of the following: a P(X > x) = 0.5 b P(X> x) = 0.95 c P(x < X < 10) = 0 d P(-x < X 10 < x) = 0.95 e P(-x < X -10 < x) = 0.99

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Assume that X is normally distributed with a mean of 10 and a standard deviation of 2.
Determine the value for x that solves each of the following:
a P(X > x) = 0.5
b P(X > x) = 0.95
c P(x < X < 10) = 0
d P(-x < X - 10 < x) = 0.95
e P(-x < X - 10 < x) = 0.99
Transcribed Image Text:Assume that X is normally distributed with a mean of 10 and a standard deviation of 2. Determine the value for x that solves each of the following: a P(X > x) = 0.5 b P(X > x) = 0.95 c P(x < X < 10) = 0 d P(-x < X - 10 < x) = 0.95 e P(-x < X - 10 < x) = 0.99
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