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If X Is a Normal Random Variable with a Mean P(X≥50)P ( X \geq 50 )

Question 66

Essay

If X is a normal random variable with a mean of 45 and a standard deviation of 8, find the following probabilities:
a. P(X≥50)P ( X \geq 50 )
b. P(X≤32)P ( X \leq 32 )
c. P(37≤X≤48)P ( 37 \leq X \leq 48 )
d. P(50≤X≤60)P ( 50 \leq X \leq 60 )
e. P(X=45)P ( X = 45 )

Correct Answer:

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a. 0.2643.
b. 0.0516...

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