In a restaurant, the proportion of people who order coffee with their dinner is .9. A simple random sample of 144 patrons of the restaurant is taken.a.What are the expected value, standard deviation, and shape of the sampling distribution of ?b.What is the random variable in this problem? Define it in words.c.What is the probability that the proportion of people who will order coffee with their meal is between .85 and .875? d.What is the probability that the proportion of people who will order coffee with their meal is at least .945?

Given The data is as follows: Population proportion, p=0.9 Sample size, n=144

Answered: In a restaurant, the proportion of…

6th Edition

ISBN:9781119256830

Author:Amos Gilat

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Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

In a restaurant, the proportion of people who order coffee with their dinner is .9. A simple random sample of 144 patrons of the restaurant is taken.

a.	What are the expected value, standard deviation, and shape of the sampling distribution of ?
b.	What is the random variable in this problem? Define it in words.
c.	What is the probability that the proportion of people who will order coffee with their meal is between .85 and .875?

d.	What is the probability that the proportion of people who will order coffee with their meal is at least .945?