Engineers must consider the diameters of heads when designing helmets. The company researchers have determined that the population of potential clientele have head diameters that are normally distributed with a mean of 5.9-in and a standard deviation of 1-in. Due to financial constraints, the helmets will be designed to fit all men except those with head diameters that are in the smallest 2.5% or largest 2.5%. Required:
a. What is the minimum head breadth that will fit the clientele?
b. What is the maximum head breadth that will fit the clientele?