to three decimal places.) (a) The expected time between two successive arrivals (b) The standard deviation of the time between successive arrivals (c) P(X ≤ 1) (d) P(1 ≤ x ≤ 3)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 60CR
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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
λ = 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
(c) P(X ≤ 1)
(d) P(1 ≤ x ≤ 3)
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 λ = 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 (c) P(X ≤ 1) (d) P(1 ≤ x ≤ 3)
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