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You must be this tall ~ Heights of 10-year-old children, regardless of gender, closely follow a normal distribution with mean 55 inches and standard deviation 6 inches. Round all answers to four decimal places. 1. What is the probability that a randomly chosen 10-year-old child is shorter than 45 inches? 2. What is the probability that a randomly chosen 10-year-old child is between 59 and 61 inches? 3. If the shortest 15% of a class of 10-year-old children is considered "very short", what is the height cutoff for "very short"? inches 4. What is the height of a 10-year-old child who is at the 46th percentile? inches 5. In order to ride the Batman the Ride ride at Six Flags America, a person must be shorter than 54 inches. What proportion of 10-year-old children cannot go on this ride?

You must be this tall ~ Heights of 10-year-old children, regardless of gender, closely follow a normal distribution with mean 55 inches and standard deviation 6 inches. Round all answers to four decimal places. 1. What is the probability that a randomly chosen 10-year-old child is shorter than 45 inches? 2. What is the probability that a randomly chosen 10-year-old child is between 59 and 61 inches? 3. If the shortest 15% of a class of 10-year-old children is considered "very short", what is the height cutoff for "very short"? inches 4. What is the height of a 10-year-old child who is at the 46th percentile? inches 5. In order to ride the Batman the Ride ride at Six Flags America, a person must be shorter than 54 inches. What proportion of 10-year-old children cannot go on this ride?

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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You must be this tall - Heights of 10-year-old children, regardless of gender, closely follow a normal distribution with mean 55 inches and standard deviation 6 inches. Round all answers to four decimal places. 1. What is the probability that a randomly chosen 10-year-old child is shorter than 45 inches? 2. What is the probability that a randomly chosen 10-year-old child is between 59 and 61 inches? 3. If the shortest 15% of a class of 10-year-old children is considered "very short", what is the height cutoff for "very short"? inches 4. What is the height of a 10-year-old child who is at the 46th percentile? inches 5. In order to ride the Batman the Ride ride at Six Flags America, a person must be shorter than 54 inches. What proportion of 10-year-old children cannot go on this ride?
Transcribed Image Text:You must be this tall - Heights of 10-year-old children, regardless of gender, closely follow a normal distribution with mean 55 inches and standard deviation 6 inches. Round all answers to four decimal places. 1. What is the probability that a randomly chosen 10-year-old child is shorter than 45 inches? 2. What is the probability that a randomly chosen 10-year-old child is between 59 and 61 inches? 3. If the shortest 15% of a class of 10-year-old children is considered "very short", what is the height cutoff for "very short"? inches 4. What is the height of a 10-year-old child who is at the 46th percentile? inches 5. In order to ride the Batman the Ride ride at Six Flags America, a person must be shorter than 54 inches. What proportion of 10-year-old children cannot go on this ride?
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