3. The heights of trees in a large grove are normally distributed with a mean of 85 feet and a standard deviation of 10 feet. Explain your answers and provide a drawing of the probability (area under the curve) for each situation. A. What is the probability that a tree selected at random is more 100 feet tall? B. What is the percentile rank of a tree that is 80 ft. tall? c. What is the minimum height of a tree that is in the top 10% of heights?

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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3. The heights of trees in a large grove are normally distributed with a mean of 85 feet and
a standard deviation of 10 feet. Explain your answers and provide a drawing of the
probability (area under the curve) for each situation.
A. What is the probability that a tree selected at random is more 100 feet tall?
B. What is the percentile rank of a tree that is 80 ft. tall?
c. What is the minimum height of a tree that is in the top 10% of heights?
Transcribed Image Text:3. The heights of trees in a large grove are normally distributed with a mean of 85 feet and a standard deviation of 10 feet. Explain your answers and provide a drawing of the probability (area under the curve) for each situation. A. What is the probability that a tree selected at random is more 100 feet tall? B. What is the percentile rank of a tree that is 80 ft. tall? c. What is the minimum height of a tree that is in the top 10% of heights?
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