# Probability

The heights of north American women are normally distributed with a mean of 64 inches and a standard deviation of 2 inches.

a) What is the probability that a randomly selected woman is taller than 66 inches?

b) A random sample of four women is selected. What is the probability that the sample mean height is greater than 66 inches?

c) What is the probability that the mean height of a random sample of 100 women is greater than 66 inches?

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#### Solution Preview

(a) z = (x - mean)/standard deviation = (66 - 64)/2 = 1

P(x > 66) = P(z > ...

#### Solution Summary

Neat, step-wise solution is provided.

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