The height of American men in feet is modeled with a normal distribution, with mean = 5.75 feet and variance 22 = 0.333 feet.

a. What is the probability that a randomly selected man's height is between 6 and 6.5 feet?

b. What is the probability that a randomly selected man's height is exactly equal to 5.75 feet?

c. What is the height needed for a man to be in the bottom 10% of men's heights? That is, the height such that there is a 10% chance/probability of being bellow that height.

d. What is the probability that a randomly selected man's height is less than 5.75 feet?