Draw a picture of the distribution for each problem with mean and standard deviations labeled and relevant areas shaded. Show exactly what you entered in to the calculator to arrive at your result, including what function you used and what numbers you entered. Round all decimals to 3 places. Read the questions carefully!

The average height of adult American men is normally distributed with mean 70 inches and standard deviation 4 inches.

1. What's the probability that a randomly selected adult American man will be less than 75 inches tall?

2. NBA player Kobe Bryant is 6'6" tall. What proportion of adult American men are at least as tall as Kobe?

3. Find the 95^th percentile of adult American male heights.