Question

Women have head circumferences that are normally distributed with a mean given by mu equals 24.24 inμ=24.24 in​.,and a standard deviation given by sigma equals 1.2 in.

Complete parts a through c below.

a. If a hat company produces​ women's hats so that they fit head circumferences between

23.7 and 24.7 what is the probability that a randomly selected woman will be able to fit into one of these​ hats?

​(Round to four decimal places as​ needed.)

b. If the company wants to produce hats to fit all women except for those with the smallest 3.75​%and the largest 3.75​% head​ circumferences, what head circumferences should be​ accommodated? The minimum head circumference accommodated should be? The maximum head circumference accommodated should be?​(Round to two decimal places as​ needed.)

Answer 1