Suppose X|Y ~ poisson (mean = y) and Y ~ Uniform [0, 5]

compute Pr [X >= 1]

I think I did it, but need confirmation it's right

E[X] = 2.5

Pr [X >= 1 ] = 1 - e^(-2.5)

this seems overly simple, but is it correct?

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- Mar 3rd 2010, 09:02 PMpaulrbconditioning problem - homework due very soon
Suppose X|Y ~ poisson (mean = y) and Y ~ Uniform [0, 5]

compute Pr [X >= 1]

I think I did it, but need confirmation it's right

E[X] = 2.5

Pr [X >= 1 ] = 1 - e^(-2.5)

this seems overly simple, but is it correct? - Mar 4th 2010, 09:07 PMCaptainBlack
- Mar 4th 2010, 10:48 PMmatheagle
But $\displaystyle f_Y(y)=1/5$ on 0<y<5

$\displaystyle Y\sim U(0,5)$ not $\displaystyle U(0,1)$ - Mar 5th 2010, 01:54 AMCaptainBlack
- Mar 8th 2010, 03:07 AMchialin4
- Mar 8th 2010, 03:31 AMCaptainBlack