The total number of people that played Major League Baseball between 1876 and 2012 is 16933.

The percentage of Major League Baseball players 6'0" or taller is 63.77%.

1. The mean height of men is 69.7 inches. Assume that the heights of men are normally distributed, with a standard deviation of 2.9 in.

a. [5 pts] 10% of men are taller than which height? Round your answer to 1 decimal place.

(Grade breakdown: 3 for set up/work; 1 for answer; 1 for explanation)

Replace these words with your image of the solution, answer and explanation.

(for question 1a only)

b. [5 pts] Find the percentage of men that are 6'0" or taller. Round your final answer to 2 decimal places.

(Grade breakdown: 3 for set up/work; 1 for answer; 1 for explanation)

Replace these words with your image of the solution, answer and explanation.

(for question 1b only)

c. [5 pts] How does the approximate percentage for the height of men 6'0" or taller (from the normal distribution) compare with the actual percentage of baseball players 6'0" or taller (indicated above)?

(Grade breakdown: 5 for answer/explanation)

Replace these words with your image of the solution, answer and explanation.

(for question 1c only)

d. [5 pts] Based on your normal distribution calculation from part (b), approximately how many Major League Baseball players would you expect to be 6'0" or taller? Round your answer to the nearest whole number.