The mean height of an adult giraffe is 17 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 t 4 decimal places where possible. a. What is the distribution of X? X - NO 17 b. What is the median giraffe height? 17 0.9 ft. c. What is the Z-score for a giraffe that is 19 foot tall? d. What is the probability that a randomly selected giraffe will be shorter than 17.1 feet tall? e. What is the probability that a randomly selected giraffe will be between 17.9 and 18.8 feet 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 22PFA
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The mean height of an adult giraffe is 17 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( 17
b. What is the median giraffe height? 17
0.9
ft.
c. What is the Z-score for a giraffe that is 19 foot tall?
d. What is the probability that a randomly selected giraffe will be shorter than 17.1 feet tall?
f. The 85th percentile for the height of giraffes is
e. What is the probability that a randomly selected giraffe will be between 17.9 and 18.8 feet tall?
ft.
Transcribed Image Text:The mean height of an adult giraffe is 17 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( 17 b. What is the median giraffe height? 17 0.9 ft. c. What is the Z-score for a giraffe that is 19 foot tall? d. What is the probability that a randomly selected giraffe will be shorter than 17.1 feet tall? f. The 85th percentile for the height of giraffes is e. What is the probability that a randomly selected giraffe will be between 17.9 and 18.8 feet tall? ft.
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