The heights of children 2 years old are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches. Pediatricians regularly measure the heights of toddlers to determine whether there is a problem. There may be a problem when a child is in the top or bottom 5% of heights. Determine the heights of 2 year-old children that could be a problem. Find the probability a 2 year old child is taller than 36 inches. Find the probability a 2 year old child is shorter than 34 inches. Find the probability a 2 year old child is between 30 and 33 inches tall.

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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The heights of children 2 years old are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches. Pediatricians regularly measure the heights of toddlers to determine whether there is a problem. There may be a problem when a child is in the top or bottom 5% of heights.

Determine the heights of 2 year-old children that could be a problem.

Find the probability a 2 year old child is taller than 36 inches.

Find the probability a 2 year old child is shorter than 34 inches.

Find the probability a 2 year old child is between 30 and 33 inches tall.

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