Step 1: Answer all four questions below and be sure to explain your reasoning.

1- The repair time for air conditioning units is believed to have a normal distribution with a mean of 38 minutes and a standard deviation of 12 minutes. Find the probability that the repair time for an air conditioning unit will be between 29 and 44 minutes.

2 - A survey was conducted to measure the heights of U.S. men. In the 20-29 age group, the heights were normally distributed, with a mean of 69.9 inches and a standard deviation of 3 inches. A study participant is randomly selected.

a) Find the probability that his height is less than 66 inches.

b) Find the probability that his height is between 66 and 72 inches.

c) What height represents the first quarti