[Solution Library] A barber shop has an average of 12 customers between 8.00am and 9.00am every Saturday. Customers arrive according to Poisson distribution. Let


Question: A barber shop has an average of 12 customers between 8.00am and 9.00am every Saturday. Customers arrive according to Poisson distribution. Let X represent the time between arrivals.

  1. Construct the distribution for the random variable X?
  2. Find the mean and standard deviation of X.
  3. What is the probability that the time between consecutive arrivals (customers) will fall between 3 and 6 minutes?

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Deliverable: Word Document

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