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( 19 1 b. What is the median giraffe height? 19 ✓ft. c. What is the Z-score for a giraffe that is 21.5 foot tall? 2.5 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 20PFA
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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 19
1
b. What is the median giraffe height? 19
✔ft.
c. What is the Z-score for a giraffe that is 21.5 foot tall? 2.5
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 19 1 b. What is the median giraffe height? 19 ✔ft. c. What is the Z-score for a giraffe that is 21.5 foot tall? 2.5 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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