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Let X represent the full height of a certain species of tree. Assume that X has a normal probability distribution with a mean of 160.5 ft and a standard deviation of 9.7 ft. A tree of this type grows in my backyard, and it stands 162.4 feet tall. Find the probability that the height of a randomly selected tree is as tall as mine or shorter. P(X < 162.4) = My neighbor also has a tree of this type growing in her backyard, but hers stands 169.2 feet tall. Find the probability that the full height of a randomly selected tree is at least as tall as hers. P(X > 169.2) = Enter your answers as decimals accurate to 4 decimal places.

Let X represent the full height of a certain species of tree. Assume that X has a normal probability distribution with a mean of 160.5 ft and a standard deviation of 9.7 ft. A tree of this type grows in my backyard, and it stands 162.4 feet tall. Find the probability that the height of a randomly selected tree is as tall as mine or shorter. P(X < 162.4) = My neighbor also has a tree of this type growing in her backyard, but hers stands 169.2 feet tall. Find the probability that the full height of a randomly selected tree is at least as tall as hers. P(X > 169.2) = Enter your answers as decimals accurate to 4 decimal places.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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Let X represent the full height of a certain species of tree. Assume that X has a normal probability distribution with a mean of 160.5 ft and a standard deviation of 9.7 ft. A tree of this type grows in my backyard, and it stands 162.4 feet tall. Find the probability that the height of a randomly selected tree is as tall as mine or shorter. P(X < 162.4) =| My neighbor also has a tree of this type growing in her backyard, but hers stands 169.2 feet tall. Find the probability that the full height of a randomly selected tree is at least as tall as hers. P(X > 169.2) = Enter your answers as decimals accurate to 4 decimal places.
Transcribed Image Text:Let X represent the full height of a certain species of tree. Assume that X has a normal probability distribution with a mean of 160.5 ft and a standard deviation of 9.7 ft. A tree of this type grows in my backyard, and it stands 162.4 feet tall. Find the probability that the height of a randomly selected tree is as tall as mine or shorter. P(X < 162.4) =| My neighbor also has a tree of this type growing in her backyard, but hers stands 169.2 feet tall. Find the probability that the full height of a randomly selected tree is at least as tall as hers. P(X > 169.2) = Enter your answers as decimals accurate to 4 decimal places.
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