Question

If the heights of women are normally distributed with a mean of 64 inches and a standard deviation of 1 inch, the probability of randomly selecting a woman taller than 60.5 inches is:

a) 0.5662
b) 0.0002
c) 0.9998
d) 0.9332

Answer 1

The probability of randomly selecting a woman taller than 60.5 inches is 0.9332.

Step-by-step explanation:

The probability of randomly selecting a woman taller than 60.5 inches is:

To find the probability, we need to calculate the z-score of 60.5 inches using the formula:

z = (X - mean) / standard deviation

z = (60.5 - 64) / 1 = -3.5

Next, we can use a standard normal distribution table or a calculator to find the area under the curve to the right of the z-score -3.5.

The correct answer is d) 0.9332.