An article in American Demographics claims that more than twice as many shoppers are out shopping on the weekends than during the week. Not only that, such shoppers also spend more money on their purchases on Saturdays and Sundays! Suppose that the amount of money spent at shopping centers between 4 p.m. and 6 p.m. on Sundays has a normal distribution with mean $180 and with a standard deviation of $20. A shopper is randomly selected on a Sunday between 4 p.m. and 6 p.m. and asked about his spending patterns. n USE SALT (a) What is the probability that he has spent more than $190 at the mall? (Round your answer to four decimal places.) (b) What is the probability that he has spent between $190 and $205 at the mall? (Round your answer to four decimal places.) (c) If two shoppers are randomly selected, what is the probability that both shoppers have spent more than $205 at the mall? (Round your answer to four decimal places.) You may need to use the appropriate appendix table to answer this question.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
An article in American Demographics claims that more than twice as many shoppers are out shopping on the weekends than
during the week. Not only that, such shoppers also spend more money on their purchases on Saturdays and Sundays!
Suppose that the amount of money spent at shopping centers between 4 p.m. and 6 p.m. on Sundays has a normal
distribution with mean $180 and with a standard deviation of $20. A shopper is randomly selected on a Sunday between
4 p.m. and 6 p.m. and asked about his spending patterns.
In USE SALT
(a) What is the probability that he has spent more than $190 at the mall? (Round your answer to four decimal places.)
(b) What is the probability that he has spent between $190 and $205 at the mall? (Round your answer to four decimal
places.)
(c) If two shoppers are randomly selected, what is the probability that both shoppers have spent more than $205 at the
mall? (Round your answer to four decimal places.)
You may need to use the appropriate appendix table to answer this question.
Transcribed Image Text:An article in American Demographics claims that more than twice as many shoppers are out shopping on the weekends than during the week. Not only that, such shoppers also spend more money on their purchases on Saturdays and Sundays! Suppose that the amount of money spent at shopping centers between 4 p.m. and 6 p.m. on Sundays has a normal distribution with mean $180 and with a standard deviation of $20. A shopper is randomly selected on a Sunday between 4 p.m. and 6 p.m. and asked about his spending patterns. In USE SALT (a) What is the probability that he has spent more than $190 at the mall? (Round your answer to four decimal places.) (b) What is the probability that he has spent between $190 and $205 at the mall? (Round your answer to four decimal places.) (c) If two shoppers are randomly selected, what is the probability that both shoppers have spent more than $205 at the mall? (Round your answer to four decimal places.) You may need to use the appropriate appendix table to answer this question.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman