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If X Is a Normal Random Variable with a Mean P(X87)P ( X \leq 87 )

Question 19

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If X is a normal random variable with a mean of 78 and a standard deviation of 5, find the following probabilities:
a. P(X87)P ( X \leq 87 )
b. P(X91)P ( X \geq 91 )
c. P(X=78)P ( X = 78 )

Correct Answer:

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a. 0.9641....

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