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Tracy hires an MBA student from SUNY New Paltz to analyze the customer demand for her...

Tracy hires an MBA student from SUNY New Paltz to analyze the customer demand for her barber shop. The student discovers that the number of customers arriving at the barber shop each day follows a Poisson distribution and the average daily number of customers is 30 for any business day.

  • What is the probability that there will be just 30 customers on a given day?
  • Tracy want to analyze the number of total customers in a week (5 business day). What is the average number of total customers in the 5-business day?
  • What is the standard deviation of the number of customers in the 5-business day?
  • What is the probability that in the five business day, the number of customers is between 100 and 200?
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Answer #1

Mean/Expected number of events of interest: λ =                30

1)

P ( X =    30   ) = e ^   -30   *    30   ^    30   /   30
=0.0726

2)

Averganumber of customer in week

= 30 * 5 = 150

3)

std dev = √λ =    12.247

4)

P(100<=X <=200)

0.999952


THANKS

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