Let X = the time between two successive arrivals at the drive-up window of a local bank. If X has an exponential distribution with À = 1, (which is identical to a standard gamma distribution with a = 1), compute the following. (If necessary, round your answer to three decimal places.) (a) The expected time between two successive arrivals (b) The standard deviation of the time between successive arrivals 1 (c) P(X < 3) (d) P(2 < X < 5)

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Let X = the time between two successive arrivals at the drive-up window of a local bank. If X has an exponential distribution with 1 = 1, (which is identical to a standard gamma distribution with
1), compute the following. (If necessary, round your answer to three decimal places.)
αΞ
(a) The expected time between two successive arrivals
1
(b) The standard deviation of the time between successive arrivals
1
(c) P(X < 3)
(d) P(2 < X < 5)
Transcribed Image Text:Let X = the time between two successive arrivals at the drive-up window of a local bank. If X has an exponential distribution with 1 = 1, (which is identical to a standard gamma distribution with 1), compute the following. (If necessary, round your answer to three decimal places.) αΞ (a) The expected time between two successive arrivals 1 (b) The standard deviation of the time between successive arrivals 1 (c) P(X < 3) (d) P(2 < X < 5)
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