A random variable X has a normal distribution N(4,9). (1) Find V(X) and E(X²). (2) Let + be the cdf of the standard normal distribution. Find P(X > 4) and P(X < 7) in terms of 4.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 39E: Assume that the probability that an airplane engine will fail during a torture test is 12and that...
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A random variable X has a normal distribution N(4,9).
(1) Find V(X) and E(X²).
(2) Let + be the cdf of the standard normal distribution. Find P(X > 4) and
P(X < 7) in terms of 4.
Transcribed Image Text:A random variable X has a normal distribution N(4,9). (1) Find V(X) and E(X²). (2) Let + be the cdf of the standard normal distribution. Find P(X > 4) and P(X < 7) in terms of 4.
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