The mean height of an adult giraffe is 19 feet. Suppose that the distribution is normally distributed with standard deviation 0.8 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible.

a. What is the distribution of X? X ~ N( , )

b. What is the median giraffe height? ft.

c. What is the Z-score for a giraffe that is 21.5 foot tall?

d. What is the probability that a randomly selected giraffe will be shorter than 19.6 feet tall?

e. What is the probability that a randomly selected giraffe will be between 19.7 and 20.2 feet tall?

f. The 75th percentile for the height of giraffes is ft