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_di ... PropertiesQuestion :
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]
ThanksStart with this...http://en.wikipedia.org/wiki/Poisson_di ... PropertiesQuestion :
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]
From the link I provided look at "Sums of Poisson-distributed random variables"ThanksStart with this...http://en.wikipedia.org/wiki/Poisson_di ... PropertiesQuestion :
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]
so=
= 1
P(A+B=4) = ? stuck here !!!
From the link I provided look at "Sums of Poisson-distributed random variables"ThanksStart with this...http://en.wikipedia.org/wiki/Poisson_di ... Properties
so=
= 1
P(A+B=4) = ? stuck here !!!
If X is poisson 1 and Y is poisson 1
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
but how should i represent it in my solutionIf X is poisson 1 and Y is poisson 1
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
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?