Let X =the time between two successive arrivals at the drive-up window of a local bank. If X has an exponential distribution with λ = 1(which is identical to a standard gamma distribution withα = 1 ), compute the following:
a. The expected time between two successive arrivals
b. The standard deviation of the time between successive arrivals
c. P(X ≤ 4)
d. P( 2 ≤ X ≤ 5 )
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