Question

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 Rs. 280 and a standard deviation of Rs. 70. What percentage of customers will spend less than Rs. 210 on concessions?​

Answer 1

Given :  spending distribution is approximately normally distributed with a mean of Rs. 280 and a standard deviation of Rs. 70

To Find :  percentage of customers will spend less than Rs. 210 on concessions

Solution:

Z score = ( Value - Mean ) / SD

Value = 210

Mean = 280

SD = 70

=> Z score = ( 210 - 280)/70

=> Z score = - 1

Z score - 1 mean 0.1587  or 15.87 %

Hence  15.87 %  of customers will spend less than Rs. 210 on concessions

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