25 POINTS
The 2014 draft picks for the NBA basketball teams have heights that are approximately normally distributed with mean 79.1 inches and standard deviation 3.0 inches.

a. Find the z-score for an observation of 75 inches.

b. Find the probability that an observation randomly selected from the normal distribution is less than 75 inches. Use the z-Table under Files tab of Canvas.

c. Find the z-score for an observation of 81 inches.

d. Find the probability that an observation randomly selected from the normal distribution is less than 81 inches. Use the z-Table under Files tab of Canvas.

e. Find the probability that an observation randomly selected from the normal distribution is between 75 inches and 81 inches.