If X is a normal random variable with mean 60, and a standard deviation of 2, find:

Question

A: P (X<58)
B: P(X>63)
C: P(57<X<64)

Answer 1

Calculate Z scores for the various values.

Z = (X - μ )/SD

Look up Z scores in table in the back of your statistics book labeled something like "areas under normal distribution" to find the probabilities.

I hope this helps. Thanks for asking.