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A manufacturer knows that their items have a normally distributed length, with a mean of 11.3 inches, and standard deviation of 2.5 inches. If one item is chosen at random, what is the probability that it is less than 5.9 inches long?

A manufacturer knows that their items have a normally distributed length, with a mean of 11.3 inches, and standard deviation of 2.5 inches. If one item is chosen at random, what is the probability that it is less than 5.9 inches long?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A manufacturer knows that their items have a normally distributed length, with a mean of 11.3 inches, and standard deviation of 2.5 inches. If one item is chosen at random, what is the probability that it is less than 5.9 inches long?
Transcribed Image Text:A manufacturer knows that their items have a normally distributed length, with a mean of 11.3 inches, and standard deviation of 2.5 inches. If one item is chosen at random, what is the probability that it is less than 5.9 inches long?
In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 53.8 inches, and standard deviation of 1.3 inches. A) What is the probability that a randomly chosen child has a height of less than 56.85 inches? Answer= (Round your answer to 3 decimal places.) B) What is the probability that a randomly chosen child has a height of more than 53.2 inches? Answer= (Round your answer to 3 decimal places.)
Transcribed Image Text:In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 53.8 inches, and standard deviation of 1.3 inches. A) What is the probability that a randomly chosen child has a height of less than 56.85 inches? Answer= (Round your answer to 3 decimal places.) B) What is the probability that a randomly chosen child has a height of more than 53.2 inches? Answer= (Round your answer to 3 decimal places.)
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