4. A peephole is a small, round opening through a door from which a viewer on the inside of a dwelling may "peek" to see directly outside the door. Traditionally, peepholes have been placed 60 inches above the floor. Standing eye heights of women are normally distributed with a mean of 1516 mm and a standard deviation of 63 mm. Standing eye heights of men are normally distributed with a mean of 1633 mm and a standard deviation of 66 mm.a. What percentage of women would be unable to use a peephole located 60 inches above the ground?b. What percentage of men would be unable to use a peephole located 60 inches above the ground?c. Suppose you are installing peepholes in your many properties and decide to place the peephole at a height that would allow 99% of women to use it. What height will the peephole be at?

The mean of the women distribution, The standard deviation of the women distribution, The mean of the men distribution, The standard deviation of the men distribution, (a)We know that,The 60 inches is equal to 1524 inches. (i.e. )The percentage of women who would be unable to use a peephole located 60 inches above the ground is computed as follows:Hence, the percentage of women who would be unable to use a peephole located 60 inches above the ground is .Note:- The z-probability is computed using Excel. The Excel formula is =NORM.S.DIST(0.12698,TRUE).(b) The percentage of men who would be unable to use a peephole located 60 inches above the ground is computed as follows:Hence, the percentage of men who would be unable to use a peephole located 60 inches above the ground is .Note:- The z-probability is computed using Excel. The Excel formula is =NORM.S.DIST(-1.65152,TRUE).(c)The peephole is at a height that would allow 99% of women to use it. The height will the peephole be computed as follows:Hence, the required height of the peehole is mm.Note:- The z-score is computed using Excel. The Excel formula is =NORM.S.INV(0.99).(a) The percentage of women who would be unable to use a peephole located 60 inches above the ground is .(b) The percentage of men who would be unable to use a peephole located 60 inches above the ground is .(c) The required height of the peehole is .