In a murder trial in Los Angeles, a shoe expert stated that the range of heights of men with a size 12 shoe is 72 inches to 76 inches. Suppose the heights of all men wearing size 12 shoes are normally distributed with a mean of 73.5 inches and a standard deviation of 1 inch. What is the probability that a randomly selected man who wears a size 12 shoe (Round answers to four decimal places.)

Question

(a)Has a height outside the range 72 inches to 76 inches?


(b)Is 74 inches or taller?


(c)Is shorter than 71.5 inches?

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 related to the Z scores.