Tony's Pizza Company finds that 69% of the generalpopulation likes pepperoni pizza. I buy pizza for 46 of myintro stats students and it turns out that only 24 of thesestudents like pepperoni pizza.Use the normal approximation to the binomial distributionto estimate the probability of randomly selecting 46people with 24 or fewer of them liking pepperoni pizza.(a) Find the mean.(b) Find the standard deviation.(c) Find the z-score.(d) Find the probability.

Answered: Tony's Pizza Company finds that 69% of…

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

Tony's Pizza Company finds that 69% of the general
population likes pepperoni pizza. I buy pizza for 46 of my
intro stats students and it turns out that only 24 of these
students like pepperoni pizza.
Use the normal approximation to the binomial distribution
to estimate the probability of randomly selecting 46
people with 24 or fewer of them liking pepperoni pizza.
(a) Find the mean.
(b) Find the standard deviation.
(c) Find the z-score.
(d) Find the probability.

Expert Solution

Step 1: Information given is

Probability of general population likes pepperoni pizza(p)=0.69

sample size(n)=46

x~Binomial(n=46,p-0.69)

P(X=x)= $open parentheses table row straight n row straight x end table close parentheses cross times straight p to the power of straight x cross times left parenthesis 1 minus straight p right parenthesis to the power of straight n minus straight x end exponent space space space space space space space space space space semicolon space straight x equals 0 comma 1 comma... comma straight n$