deviation of $25. If the management wants to give free gifts to at most 11.51% of the customers, what should the amount be above which a customer would receive a free gift?

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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The management of a supermarket wants to adopt a new promotional policy of giving a free gift to
every customer who spends more than a certain amount per visit at this supermarket. The expectation
of the management is that after this promotional policy is advertised, the expenditures for all
customers at this supermarket will be normally distributed with a mean of $100 and a standard
deviation of $25. If the management wants to give free gifts to at most 11.51% of the customers, what
should the amount be above which a customer would receive a free gift?
Round your answer to two decimal places.
A customer should spend at least $ i
to receive a free gift.
Transcribed Image Text:The management of a supermarket wants to adopt a new promotional policy of giving a free gift to every customer who spends more than a certain amount per visit at this supermarket. The expectation of the management is that after this promotional policy is advertised, the expenditures for all customers at this supermarket will be normally distributed with a mean of $100 and a standard deviation of $25. If the management wants to give free gifts to at most 11.51% of the customers, what should the amount be above which a customer would receive a free gift? Round your answer to two decimal places. A customer should spend at least $ i to receive a free gift.
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