What is the mean and variance of the sample proportion of customers making a purchase? What is the probability that the sample proportion is less than 0.20? She calculated the probability that the sample proportion is lower than a propor- tion a, and the probability turned out 0.05. Then what is this number a?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
icon
Related questions
Question
A record store owner knows that 25% of customers entering her store make a purchase.
Consider a random sample consisting of 100 customers who entered the store.
(a) What is the mean and variance of the sample proportion of customers making a
purchase?
(b) What is the probability that the sample proportion is less than 0.20?
(c) She calculated the probability that the sample proportion is lower than a propor-
tion a, and the probability turned out 0.05. Then what is this number a?
Transcribed Image Text:A record store owner knows that 25% of customers entering her store make a purchase. Consider a random sample consisting of 100 customers who entered the store. (a) What is the mean and variance of the sample proportion of customers making a purchase? (b) What is the probability that the sample proportion is less than 0.20? (c) She calculated the probability that the sample proportion is lower than a propor- tion a, and the probability turned out 0.05. Then what is this number a?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning