A manufacturer knows that their items have a normally distributed length, with a mean of 11.3inches, 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 childrenare approximately normally distributed with a mean of 53.8 inches, and standard deviation of 1.3inches.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.)

The provided information is as follows:The mean of the normal distribution is inches.The standard…

Answered: A manufacturer knows that their items…

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?