Women have head circumferences that are normally distributed with a mean given by 23.46and a standard deviation of 1.1

a. If a hat Company produces women's hat so that they fit head circumferences between 22.7 and 23.7 what is the probability that a randomly selected woman will be able to fit into one of these hats?

b. If the company wants to produce hats fit all women except for those with the smallest 1.25% and largest 1.25% head circumferences what head circumferences should be accommodated?