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I am having trouble setting it up

ok i have to think
geometric distribution is \(P(n) = p(1-p)^n\) right?

yes

no, this is a practice exam

that's ok, thanks for your help

no that isn't right either, at least i don't think so
what text are you using?

I am actually having troubling understanding what is being asked

in other words, find a formula for \(P(X=k)\) the probability the device runs for time \(k\)

probability and schocastic process by yates

nope, sorry

do you know how to combine two geometric distributions?

no

that is what they are asking

i should delete my embarrassing answer
now we will get a real one i hope

can you show me how to combine distributions

No answer from me, I never learned this stuff. But it might be a negative binomial distribution.

alright, thanks anyway

if you get the answer, please post it.

I will ask zarkon, when he comes on; hopefully before my quiz though

is that the full problem?

yes

\[=P(X\le x|d1)p1+P(X\le x|d2)p2\]

though I could be misinterpreting the problem (since I don't think it is totally clear)

yeah, I had hard time even understanding what they were asking for

so this is conditional probability problem?

based on what read it looks like you need to use conditional prob for at least part of the problem