Find the variance of X given that Z-10, that is Var(XIZ-10)

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Let X and Y be independent Poisson
random variables with means 2 and 8,
respectively. More explicitly, their
probability mass functions are given by
Px (k)=e¹ PY (k)= e and let Z=X+Y Find
the variance of X given that Z=10, that is
Var(X|Z=10). Express the result with two
decimal points, Ex 12.34 Yaret: for
k=0,1,... for k=0, 1,...
Let X and Y be independent Poisson random variables with means 2 and 8, respectively. More explicitly, their probability mass functions
are given by
px (k)-¹ fork-0,1....
py (k)-e for k-0,1,...
and let Z-X+Y
Find the variance of X given that Z-10, that is Var(XIZ-10)
Express the result with two decimal points, Ex 12.34
Yanvt
Transcribed Image Text:Let X and Y be independent Poisson random variables with means 2 and 8, respectively. More explicitly, their probability mass functions are given by Px (k)=e¹ PY (k)= e and let Z=X+Y Find the variance of X given that Z=10, that is Var(X|Z=10). Express the result with two decimal points, Ex 12.34 Yaret: for k=0,1,... for k=0, 1,... Let X and Y be independent Poisson random variables with means 2 and 8, respectively. More explicitly, their probability mass functions are given by px (k)-¹ fork-0,1.... py (k)-e for k-0,1,... and let Z-X+Y Find the variance of X given that Z-10, that is Var(XIZ-10) Express the result with two decimal points, Ex 12.34 Yanvt
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