The heights of a certain population of trees follow a normal distribution with a mean height of 180 cm and a standard deviation of 10 cm. a. What is the probability that a randomly selected tree is greater than 190 cm? b. What percentage of trees are shorter than 175 cm? c. What is the height value below which 90% of all trees fall?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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The heights of a certain population of trees follow a normal distribution with a mean height of 180 cm and a standard deviation of 10 cm.

a. What is the probability that a randomly selected tree is greater than 190 cm?

b. What percentage of trees are shorter than 175 cm?

c. What is the height value below which 90% of all trees fall?

 

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