Author Question: In a restaurant, the proportion of people who order coffee with their dinner is .9 . A simple random ... (Read 86 times)

mcmcdaniel · **on:** Jun 24, 2018

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?

Question 2

Given that z is a standard normal random variable, what is the value of z if the area to the right of z is .1112?
a. .3888
b. 1.22
c. 2.22
d. 3.22

frankwu0507 · **Reply #1 on:** Jun 24, 2018

Answer to Question 1

a. .9; .025; normal
b. p the sample proportion of people who order coffee with their dinners out of 144 patrons
c. .1359
d. .0359

Answer to Question 2

b