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)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 4ECP
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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 α = 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)
You may need to use the appropriate table in the Appendix of Tables
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 α = 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) You may need to use the appropriate table in the Appendix of Tables
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