Let X, Y, be ind. Poisson rand. vars; mean 1; find P(X+Y=4),

[zorro]

Question :
Suppose X and Y are independent Poisson random variable , each with the mean 1 , obtain
i) P(X+Y=4)
ii) E[(X+Y)²]

[Martingale]

Question :
Suppose X and Y are independent Poisson random variable , each with the mean 1 , obtain
i) P(X+Y=4)
ii) E[(X+Y)²]

Start with this...http://en.wikipedia.org/wiki/Poisson_distribution#Properties

[zorro]

Question :
Suppose X and Y are independent Poisson random variable , each with the mean 1 , obtain
i) P(X+Y=4)
ii) E[(X+Y)²]

Start with this...http://en.wikipedia.org/wiki/Poisson_distribution#Properties

Thanks

so = = 1

P(A+B=4) = ? _{stuck here !!!}

[Martingale]

Question :
Suppose X and Y are independent Poisson random variable , each with the mean 1 , obtain
i) P(X+Y=4)
ii) E[(X+Y)²]

Start with this...http://en.wikipedia.org/wiki/Poisson_distribution#Properties

Thanks

so = = 1

P(A+B=4) = ? _{stuck here !!!}

From the link I provided look at "Sums of Poisson-distributed random variables"

[zorro]

Start with this...http://en.wikipedia.org/wiki/Poisson_distribution#Properties

Thanks

so = = 1

P(A+B=4) = ? _{stuck here !!!}

From the link I provided look at "Sums of Poisson-distributed random variables"

I couldnt understand how to evaluate P(A+B=4) as

is it P(A+B=4) = P(A) + P(B) = 4
or is it some other way

[Martingale]

I couldnt understand how to evaluate P(A+B=4) as

is it P(A+B=4) = P(A) + P(B) = 4
or is it some other way

If X is poisson 1 and Y is poisson 1

then X+Y is Poisson 2

[zorro]

I couldnt understand how to evaluate P(A+B=4) as

is it P(A+B=4) = P(A) + P(B) = 4
or is it some other way

If X is poisson 1 and Y is poisson 1

then X+Y is Poisson 2

but how should i represent it in my solution
P(A+B) = 1+1 = 2 but what about the '4'

I am having a hard time how to formulate this ? sorry or such silly questions?

[Martingale]

but how should i represent it in my solution
P(A+B) = 1+1 = 2 but what about the '4'

I am having a hard time how to formulate this ? sorry or such silly questions?

I think you need to review the basics of probability before you start working with random variables. I really think it will help you since your foundation in the basics is not strong enough.

Good luck!