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The number of people who dine at restaurants in Canada is normally distributed with a μ = 30 people and σ = 3 people. (Report both the z-scores and probability) a.) What is the probability that a single restaurant will have more than 30 people dining there? p(X>30) = b.) What is the probability that the mean of 5 restaurants will have more than 30 people dining there? (Hint: you are now dealing with a sample) p(M>30)= c.) What is the probability of a single restaurants having less than 21 people dining there? p(X<21)= Z= Z=

The number of people who dine at restaurants in Canada is normally distributed with a μ = 30 people and σ = 3 people. (Report both the z-scores and probability) a.) What is the probability that a single restaurant will have more than 30 people dining there? p(X>30) = b.) What is the probability that the mean of 5 restaurants will have more than 30 people dining there? (Hint: you are now dealing with a sample) p(M>30)= c.) What is the probability of a single restaurants having less than 21 people dining there? p(X<21)= Z= Z=

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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The number of people who dine at restaurants in Canada is normally distributed with a µ = 30 people and σ = 3 people. (Report both the z-scores and probability) a.) What is the probability that a single restaurant will have more than 30 people dining there? p(X>30) = b.) What is the probability that the mean of 5 restaurants will have more than 30 people dining there? (Hint: you are now dealing with a sample) p(M>30)= c.) What is the probability of a single restaurants having less than 21 people dining there? Z= p(X<21)= d.) What is the probability that the mean of 13 restaurants will have less than 21 people dining there? p(M<21)=_ Z₁ = Z= Z₁ = Z= e.) What is the probability of a single restaurants having between 21 and 32 people dining there? p(21 >x>32) =. f.) What is the probability that the mean of 7 restaurants will have between 21 and 32 people dining ther? Z= Z₂ = Z₂ = p(21 > M > 32) =.
Transcribed Image Text:The number of people who dine at restaurants in Canada is normally distributed with a µ = 30 people and σ = 3 people. (Report both the z-scores and probability) a.) What is the probability that a single restaurant will have more than 30 people dining there? p(X>30) = b.) What is the probability that the mean of 5 restaurants will have more than 30 people dining there? (Hint: you are now dealing with a sample) p(M>30)= c.) What is the probability of a single restaurants having less than 21 people dining there? Z= p(X<21)= d.) What is the probability that the mean of 13 restaurants will have less than 21 people dining there? p(M<21)=_ Z₁ = Z= Z₁ = Z= e.) What is the probability of a single restaurants having between 21 and 32 people dining there? p(21 >x>32) =. f.) What is the probability that the mean of 7 restaurants will have between 21 and 32 people dining ther? Z= Z₂ = Z₂ = p(21 > M > 32) =.
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