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3.10 Heights of 10 year olds: Heights of 10 year olds, regardless of gender, closely follow a normal distribution with mean 55 inches and standard deviation 5 inches. a) What is the probability that a randomly chosen 10 year old is shorter than 47 inches? (Keep 4 decimal places.) b) What is the probability that a randomly chosen 10 year old is between 61 and 64 inches? (Keep 4 decir places.) c) If the tallest 10% of the class is considered "ventall"

3.10 Heights of 10 year olds: Heights of 10 year olds, regardless of gender, closely follow a normal distribution with mean 55 inches and standard deviation 5 inches. a) What is the probability that a randomly chosen 10 year old is shorter than 47 inches? (Keep 4 decimal places.) b) What is the probability that a randomly chosen 10 year old is between 61 and 64 inches? (Keep 4 decir places.) c) If the tallest 10% of the class is considered "ventall"

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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### Question 3 **3.10 Heights of 10-year-olds:** Heights of 10-year-olds, regardless of gender, closely follow a normal distribution with mean 55 inches and standard deviation 5 inches. a) What is the probability that a randomly chosen 10-year-old is shorter than 47 inches? (Keep 4 decimal places.) [Input box for answer] b) What is the probability that a randomly chosen 10-year-old is between 61 and 64 inches? (Keep 4 decimal places.) [Input box for answer] c) If the tallest 10% of the class is considered "very tall", what is the height cutoff for "very tall"? (Keep 2 decimal places.) [Input box for answer] d) The height requirement for **Batman the Ride** at Six Flags Magic Mountain is 54 inches. What percent of 10-year-olds cannot go on this ride? (Keep 2 decimal places.) [Input box for answer] [Submit All Parts button] --- **Note:** Each question requires an understanding of normal distribution and statistical calculations to determine probabilities and percentiles. The use of Z-scores and normal distribution tables or software is implied for the calculations.
Transcribed Image Text:### Question 3 **3.10 Heights of 10-year-olds:** Heights of 10-year-olds, regardless of gender, closely follow a normal distribution with mean 55 inches and standard deviation 5 inches. a) What is the probability that a randomly chosen 10-year-old is shorter than 47 inches? (Keep 4 decimal places.) [Input box for answer] b) What is the probability that a randomly chosen 10-year-old is between 61 and 64 inches? (Keep 4 decimal places.) [Input box for answer] c) If the tallest 10% of the class is considered "very tall", what is the height cutoff for "very tall"? (Keep 2 decimal places.) [Input box for answer] d) The height requirement for **Batman the Ride** at Six Flags Magic Mountain is 54 inches. What percent of 10-year-olds cannot go on this ride? (Keep 2 decimal places.) [Input box for answer] [Submit All Parts button] --- **Note:** Each question requires an understanding of normal distribution and statistical calculations to determine probabilities and percentiles. The use of Z-scores and normal distribution tables or software is implied for the calculations.
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