let x=the time between two successive arrivals at the drive up window of a local bank. if x has an exponential distribution with gamma=1, compute the following
Added by David W.
Step 1
Let X ~ Exponential(γ) with γ = 1. The probability density function (pdf) is f(x) = γ e^{-γ x} for x ≥ 0, and f(x) = 0 for x < 0. With γ = 1 this becomes f(x) = e^{-x}, x ≥ 0. Show more…
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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 ≤ 2) (d) P(1 ≤ X ≤ 3) You may need to use the appropriate table in the Appendix of Tables
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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, (which is identical to a standard gamma distribution with ́ = 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 ≤ 4) (d) P(1 ≤ X ≤ 3)
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