http://a367.yahoofs.com/hkblog/_9eQU..._____DN3uHC_jN

i can solve only the first two questions... anyone help me the rest, hints please...

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- Jul 13th 2010, 01:59 AMkinProblem of Poisson Process
http://a367.yahoofs.com/hkblog/_9eQU..._____DN3uHC_jN

i can solve only the first two questions... anyone help me the rest, hints please... - Jul 13th 2010, 04:04 AMmr fantastic
Sorry but this question has way too many parts. In fact, it reads like an assignment question, in which case it should be noted that MHF policy is to not knowingly help with work that counts towards a student's final grade. It's meant to be the student's own work.

Thread closed. You can discuss this with me via pm if you want. But regardless, there are way too many parts to the question.

**Edit:**Re-opened (reluctantly) after getting a pm which contained, in part, what I have posted in the next post. - Jul 13th 2010, 06:00 AMmr fantastic
Written by

**kin**in a pm:

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[The posted] question is from one of my past exam papers,

have i got the first 2 questions right?

u dont have to explain all of them , coz some of them are similar.

let's discuss (c)(d)(e):

(c) no idea

(d)let N(t) be the no.of loss,

so, the required probability

= P( N(11.76) >= 5) since there must be 5 loss before t=11.76

= summation( j=5 to ∞) [ (exp-λt)((λt)^j) / (j!) ] -->it's possion(λt)

=1 - summation( j=0 to 4) [ (exp-λt)((λt)^j) / (j!) ]

where λt is the possion rate , from part(a)

λ= 1/10 + 1/25 + 1/5 =0.34 , λt=(0.34)(5)= 1.7

(e)

the required probability

= P ( N(8)>=3 |N(31.62)>=9)

=P(N(8)>=3) since the possion increment is independent

=1 - summation( j=0 to 2) [ (exp-λt)((λt)^j) / (j!) ]

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