Heights of women: A survey was conducted to measure the height of US women. In the survey, respondents were grouped by age. In the 20-29 age groups, the heights were normally distributed with a mean of 64.3 inches and a standard deviation of 2.6 inches.

a) Find the probability that her height is less than 56.5 inches (z=, area=, probability).

b) Find the probability that her height is between 61 and 67 inches (z1=, z2= area for z1and z2= probability.c) Find the probability that her height is more than 70.5 inches (z=, area=, probability=).