In: Statistics and Probability
The mean height of an adult giraffe is 18 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 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 17.3 and 18.3 feet tall? f. The 75th percentile for the height of giraffes is ft.