A designer of motorcycle helmets is marketing a helmet to American men. This designer knows that the mean American adult male had a head breadth of 6 in, with a standard deviation of 1 in, and that the distribution of head breadths is approximately normal. Find the following: a. What is the probability that someone head is between 5 in and 9.5 in. b What is the probability that someone head is at most 7.5 in. c. What size head is represented at the largest 10%? d. What size head is repesented at the smallest 25%? e. Five hundred men heads are measured ranging from 6 in to 8 in. How many men out of 500 would fall in this category. f. What is the probability of men that have a head size of exactly 6.5