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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.)

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.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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.)
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. 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.)
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