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1. Heights of 10 year olds, regardless of gender, closely follow a normal distribution with mean 55 inches and standard deviation 6 inches. a. What is the probability that a randomly chosen 10 year old is shorter than 48 inches? b. What is the probability that a randomly chosen 10 year old is between 60 and 65 inches? c. If the tallest 10% of the class is considered “very tall", what is the height cutoff for

1. Heights of 10 year olds, regardless of gender, closely follow a normal distribution with mean 55 inches and standard deviation 6 inches. a. What is the probability that a randomly chosen 10 year old is shorter than 48 inches? b. What is the probability that a randomly chosen 10 year old is between 60 and 65 inches? c. If the tallest 10% of the class is considered “very tall", what is the height cutoff for

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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1. Heights of 10 year olds, regardless of gender, closely follow a normal distribution with mean 55 inches and standard deviation 6 inches. a. What is the probability that a randomly chosen 10 year old is shorter than 48 inches? b. What is the probability that a randomly chosen 10 year old is between 60 and 65 inches? If the tallest 10% of the class is considered "very tall", what is the height cutoff for C. "very tall"? 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? e. Suppose there are four 10 year olds. What is the chance that at least two of them will be able to ride Batman the Ride? f. Suppose you work at the park to help them better understand their customers' demographics, and you are counting people as they enter the park. What is the chance that the first 10 year old you see who can ride Batman the Ride is the 3rd 10 year old who enters the park? g. What is the chance that the fifth 10 year old you see who can ride Batman the Ride is the 12th 10 year old who enters the park? h. If there are 2,000 10 year olds entering Six Flags Magic Mountain in a single day, then compute the expected number of 10 year olds who are at least 76 inches tall.
Transcribed Image Text:1. Heights of 10 year olds, regardless of gender, closely follow a normal distribution with mean 55 inches and standard deviation 6 inches. a. What is the probability that a randomly chosen 10 year old is shorter than 48 inches? b. What is the probability that a randomly chosen 10 year old is between 60 and 65 inches? If the tallest 10% of the class is considered "very tall", what is the height cutoff for C. "very tall"? 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? e. Suppose there are four 10 year olds. What is the chance that at least two of them will be able to ride Batman the Ride? f. Suppose you work at the park to help them better understand their customers' demographics, and you are counting people as they enter the park. What is the chance that the first 10 year old you see who can ride Batman the Ride is the 3rd 10 year old who enters the park? g. What is the chance that the fifth 10 year old you see who can ride Batman the Ride is the 12th 10 year old who enters the park? h. If there are 2,000 10 year olds entering Six Flags Magic Mountain in a single day, then compute the expected number of 10 year olds who are at least 76 inches tall.
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