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 1 (b) The standard deviation of the time between successive arrivals 1 (c) P(X ≤ 1) 0.632 the

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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
1
(b) The standard deviation of the time between successive arrivals
1
(c) P(X ≤ 1)
0.632
(d)
P(3 ≤ x ≤ 5)
You may need to use the appropriate table in the Appendix of Tables
the
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 1 (b) The standard deviation of the time between successive arrivals 1 (c) P(X ≤ 1) 0.632 (d) P(3 ≤ x ≤ 5) You may need to use the appropriate table in the Appendix of Tables the
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