SOLUTION: 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.

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Question 1197429: 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 $95 and a standard deviation of $17. If the management wants to give free gifts to at most 14.01% of the customers, what should the amount be above which a customer would receive a free gift? Round answer to two decimal places.
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi  
Normal Distribution: 
µ = $95 and σ = $17    customer Expenditures
Free Gifts to at most 14.01% of customers

z = Invnorm(.8599)  = 1.07987061
  x = ( 1.07987061)*$17 + $95 = $113.36
Wish You the Best in your Studies.


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