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Exponential distribution help watch

1. Im stuck on this question. To find the pdf would I just substitute λx into the pdf of a exponential dsitribution?
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2. (Original post by SWISH99)

Im stuck on this question. To find the pdf would I just substitute λx into the pdf of a exponential dsitribution?
i mean you've literslly just posted the pdf lol.

is the pdf i'm pretty sure
3. (Original post by will'o'wisp2)
i mean you've literslly just posted the pdf lol.

is the pdf i'm pretty sure
that just the pdf for X. For λx would I just sub in λx where there is x?
4. (Original post by SWISH99)
that just the pdf for X. For λx would I just sub in λx where there is x?
No because then you'd have for which gives

Instead, begin with the fact that we can denote so the distribution of Y is a function of the distribution of X.
So,

So, and now differentiate both sides w.r.t for in terms of and finish it off.

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Updated: February 17, 2018
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