7. Most powerful business women in America. Consider that the data set is a normal distribution with a mean of 50 years and a standard deviation of 5 years. A powerful woman is randomly selected from the data, and her age is observed.

Question

7. Most powerful business women in America. Consider that the data set is a normal distribution with a mean of 50 years and a standard deviation of 5 years. A powerful woman is randomly selected from the data, and her age is observed.

Please calculate the probability of the woman having less than 55 years. Also calculate the probability of the woman having between 40 and 60 years, and the probability of the woman being more than 55 years old.

Answer 1

Z = (score-mean)/SD

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportions/probabilities related to the Z scores.