The mean height of an adult giraffe is 17 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? c. What is the Z-score for a giraffe that is 19.5 foot tall? ft. d. What is the probability that a randomly selected giraffe will be shorter than 16.8 feet tall? e. What is the probability that a randomly selected giraffe will be between 16.4 and 16.9 feet tall? f. The 85th percentile for the height of giraffes is ft.
The mean height of an adult giraffe is 17 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? c. What is the Z-score for a giraffe that is 19.5 foot tall? ft. d. What is the probability that a randomly selected giraffe will be shorter than 16.8 feet tall? e. What is the probability that a randomly selected giraffe will be between 16.4 and 16.9 feet tall? f. The 85th 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 22PFA
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Transcribed Image Text:The mean height of an adult giraffe is 17 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 19.5 foot tall?
d. What is the probability that a randomly selected giraffe will be shorter than 16.8 feet tall?
e. What is the probability that a randomly selected giraffe will be between 16.4 and 16.9 feet tall?
f. The 85th percentile for the height of giraffes is
ft.
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Step 1: Write the given information.
VIEWStep 2: a. Find the distribution of X.
VIEWStep 3: b. Find the median.
VIEWStep 4: c. Calculate the Z-score.
VIEWStep 5: d. Find the probability that the giraffe is shorter than 16.8 feet tall.
VIEWStep 6: e. Find the probability that the giraffe is between 16.4 and 16.9 feet tall.
VIEWStep 7: e. Calculate the 85th percentile.
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