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A Toronto Blue Jays baseball player is able to hit the ball for 74% of the pitches that the player receives. A pitch happens when the baseball is thrown to the player and the player tries to hit the ball with a bat. If the player tries to hit 130 baseball pitches in a competition, is it appropriate to use a Normal model to approximate the distribution of the number of baseball hits the player will have? Assume that the baseball pitches are independent of each other. Yes; Normal model with µ = 33.8 and σ = 25.01 can be used to approximate the distribution. Yes; Normal model with µ = 96.2 and σ = 5.00 can be used to approximate the distribution. No; Normal model cannot be used to approximate the distribution because np < 10. No; Normal model cannot be used to approximate the distribution because nq < 10. Yes; Normal model with µ = 96.2 and σ = 25.01 can be used to approximate the distribution.

A Toronto Blue Jays baseball player is able to hit the ball for 74% of the pitches that the player receives. A pitch happens when the baseball is thrown to the player and the player tries to hit the ball with a bat. If the player tries to hit 130 baseball pitches in a competition, is it appropriate to use a Normal model to approximate the distribution of the number of baseball hits the player will have? Assume that the baseball pitches are independent of each other. Yes; Normal model with µ = 33.8 and σ = 25.01 can be used to approximate the distribution. Yes; Normal model with µ = 96.2 and σ = 5.00 can be used to approximate the distribution. No; Normal model cannot be used to approximate the distribution because np < 10. No; Normal model cannot be used to approximate the distribution because nq < 10. Yes; Normal model with µ = 96.2 and σ = 25.01 can be used to approximate the distribution.

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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Describe an appropriate Normal model that can be used to approximate the binomial distribution. If it is not appropriate to use a normal approximation, give a reason why not.

A Toronto Blue Jays baseball player is able to hit the ball for 74% of the pitches that the player receives. A pitch happens when the baseball is thrown to the player and the player tries to hit the ball with a bat. If the player tries to hit 130 baseball pitches in a competition, is it appropriate to use a Normal model to approximate the distribution of the number of baseball hits the player will have? Assume that the baseball pitches are independent of each other. Yes; Normal model with µ = 33.8 and o = 25.01 can be used to approximate the distribution. Yes; Normal model with µ = 96.2 and o = 5.00 can be used to approximate the distribution. No; Normal model cannot be used to approximate the distribution because np < 10. No; Normal model cannot be used to approximate the distribution because nq < 10. Yes; Normal model with µ = 96.2 and σ = 25.01 can be used to approximate the distribution.
Transcribed Image Text:A Toronto Blue Jays baseball player is able to hit the ball for 74% of the pitches that the player receives. A pitch happens when the baseball is thrown to the player and the player tries to hit the ball with a bat. If the player tries to hit 130 baseball pitches in a competition, is it appropriate to use a Normal model to approximate the distribution of the number of baseball hits the player will have? Assume that the baseball pitches are independent of each other. Yes; Normal model with µ = 33.8 and o = 25.01 can be used to approximate the distribution. Yes; Normal model with µ = 96.2 and o = 5.00 can be used to approximate the distribution. No; Normal model cannot be used to approximate the distribution because np < 10. No; Normal model cannot be used to approximate the distribution because nq < 10. Yes; Normal model with µ = 96.2 and σ = 25.01 can be used to approximate the distribution.
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