SOLUTION: The Edwards’s Theater chain has studied its movie customers to determine how much money they spend on concessions. The study revealed that the spending distribution is approxim

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Question 1204962: The Edwards’s Theater chain has studied its movie customers to determine how much money they spend on
concessions. The study revealed that the spending distribution is approximately normally distributed with a
mean of $4.11 and a standard deviation of $1.37.
A. What percentage of customers will spend less than $3.00
on concessions?
B. What spending amount corresponds to the top 87th percentile?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
the mean is 4.11
the standard deviation is 1.37

percentage of customers that will spend less than 3.00 on concessions is equal to 20.9%.

the spending amount that corresponds to the top 87th percentile is equal to any amount greater than 5.653.

this can be seen in the following normal distribution graphing calculator.
https://davidmlane.com/hyperstat/z_table.html






the first display finds the value that has an area of .87 to the left of it.

87% of the values in the normal normal distribution curve have a value that is less than that.
that means that 87% of the customers spend less than 5.653 on concessions.
that means that 13% of the customers spend more than 5.653 on concessions.

the second display finds the proportion of cursomters who spend less than 3.00 on concessions.

that value is .209 which is equal to 20.9%.