Page 1of 4MAT 2058 Homework 4 Solutions 1)Use the following information about the overhead reach distances of adult females: μ = 205.5 cm, σ = 8.6 cm, and overhead reach distances are normally distributed. The overhead reach distances are used in planning assembly work stations. a.If 1 adult female is randomly selected, find the probability that her overhead reach is greater than 218.4 cm. In this case we are dealing with an individual value from a normally distributed population, so we use the same method as before:
b.If 9 adult females are randomly selected, find the probability that they have a mean overhead reach greater than 204.0 cm.