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Let X be the time between two successive arrivals at the drive-through window of a local bank. If X has an Gamma distribution with shape

Let X be the time between two successive arrivals at the drive-through window of a local bank. If X has an Gamma distribution with shape and scale parameters = = 1, answer the following:

  1. Find the expectation and variance of the time between two successive arrivals.
  2. Compute the probability P (X 4)
  3. Compute the probability P (2 X 5)

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