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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The mean height of an adult giraffe is 19 feet. Suppose that the distribution is normally distributed with
standard deviation 1 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 18.4 feet tall?
e. What is the probability that a randomly selected giraffe will be between 19.9 and 20.5 feet tall?
f. The 75th percentile for the height of giraffes is
ft.
Transcribed Image Text:The mean height of an adult giraffe is 19 feet. Suppose that the distribution is normally distributed with standard deviation 1 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 18.4 feet tall? e. What is the probability that a randomly selected giraffe will be between 19.9 and 20.5 feet tall? f. The 75th percentile for the height of giraffes is ft.
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