Women's shoulder heights (in inches) are normal with mean 52.5 and standard deviation 2.5.

(a) According to the 68-95-99.7 Rule, the probability is 0.0015 that a woman's shoulder

height would be less than how many inches?

(b) Find the standardized score z for a woman whose shoulder height is 59 inches.

(c) Find the probability of a woman's shoulder height being greater than 59 inches.