Question

Let Yi, Y2, ..., Yso be a sequence of exponentially distributed random variable with parameter λ=.4 , and Y-31/40, Find P(Y<2) 40

lambda=.4 please show all steps!! as detailed as possible, thank you so much for your time

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Answer #1

Given -thed, e kro w folovs Gamma destn buhon Thus,r(uo) 40 4 0 f( y)--1-r-léo.isr (o.pW 40-1 、わ0 ., 0.1 0.1)40 샷 2. 0.1Now, the above integral is not easily integrable. So, for finding probability, one can use R.

There are the following command in R, to get an answer:

> pgamma(2,40,0.1)
[1] 1.108713e-76

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