Katey is planning her shopping list for Easter and she volunteered to make pies for dinner. Out of all of her family members, she knows from past experience that each family member eats 2 pieces of pie on average with a standard deviation of 0.4 and that the number of pieces of pie eaten by family members is normally distributed. This year a random sample of 18 family members are coming for Easter. Because of the current state of affairs, the pies will be left on the doorsteps for people to grab a slice or two. Katey is hoping to only have to make 4 pies which will end up yielding 32 pieces of pie. What is the probability Katey will have to make more than a total of 32 pieces of pie? Round to four decimal places.

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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Katey is planning her shopping list for Easter and she volunteered to make pies for dinner. Out of all of her family members, she knows from past experience that each family member eats 2 pieces of pie on average with a standard deviation of 0.4 and that the number of pieces of pie eaten by family members is normally distributed. This year a random sample of 18 family members are coming for Easter.  Because of the current state of affairs, the pies will be left on the doorsteps for people to grab a slice or two.  

Katey is hoping to only have to make 4 pies which will end up yielding 32 pieces of pie. What is the probability Katey will have to make more than a total of 32 pieces of pie?  Round to four decimal places. 

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