The mean height of an adult giraffe is 18 feet. Suppose that the distribution is normally distributed with standard deviation 0.9 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 19.5 foot tall?

d. What is the probability that a randomly selected giraffe will be shorter than 18.6 feet tall?

e. What is the probability that a randomly selected giraffe will be between 17.4 and 18.1 feet tall?

f. The 90th percentile for the height of giraffes is