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 22 foot tall?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question 5
The mean height of an adult giraffe is 19 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 22 foot tall?
d. What is the probability that a randomly selected giraffe will be shorter than 19.4 feet tall?
e. What is the probability that a randomly selected giraffe will be between 18 and 18.8 feet tall?
ft.
f. The 85th percentile for the height of giraffes is
Hint:
Helpful videos:
• Find a Probability [+]
Finding a Value Given a Probability [+]
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Transcribed Image Text:Question 5 The mean height of an adult giraffe is 19 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 22 foot tall? d. What is the probability that a randomly selected giraffe will be shorter than 19.4 feet tall? e. What is the probability that a randomly selected giraffe will be between 18 and 18.8 feet tall? ft. f. The 85th percentile for the height of giraffes is Hint: Helpful videos: • Find a Probability [+] Finding a Value Given a Probability [+] Hint Question Help: Message instructor Submit Question
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