Ear lengths are approximately normal, with mean and standard deviation (in inches) 2.45 and 0.17 for males, 2.06 and 0.17 for females. Find the following ear lengths, making use of the z values for...

Ear lengths are approximately normal, with mean and standard deviation (in inches) 2.45 and 0.17 for males, 2.06 and 0.17 for females. Find the following ear lengths, making use of the
z
values for normal curve tail probabilities shown in Exercise 7.63.

a. The length for which the probability of a male’s ear being shorter is 0.005

b. The length for which the probability of a male’s ear being longer is 0.05

c. The length for which the probability of a female’s ear being shorter is 0.025

d. The length for which the probability of a female’s ear being longer is 0.01