Approximate the distribution of adult men in the world as normally distributed with an average of 69 inches and a standard deviation of 3 inches.

1. Using this approximation, estimate the proportion of adult men that are 7 feet tall or taller, referred to as seven footers. Store the result in p1

Hint: use the pnorm function. Note: 1 foot = 12 inches

2. There are about 1 billion men between the ages of 18 and 40 in the world. Use your answer to the previous question to estimate how many of these men (18-40 year olds) are seven feet tall or taller in the world? Store the result in n1.

3. There are about 10 National Basketball Association (NBA) players that are 7 feet tall or higher. Using the answer to the previous two questions, what proportion of the world’s 18-to-40-year-old seven footers are in the NBA? Store the result in p_nba.

4. Repeat the calculations performed in the previous question for Lebron James’ height: 6 feet 8 inches. There are about 150 players that are at least that tall. Store the resulting proportion in p_lebron.