Question: A discrete random variable, X, has the probability distribution: A discrete random variable, Y, has the probability distribution: a. Find G x (t). b. Find
A discrete random variable, X, has the probability distribution:

A discrete random variable, Y, has the probability distribution:

a. Find Gx(t).
b. Find Gy(t)
Hence, given that X and Y are independent:
c. Find Gx+y(t)
d. Write down the probability distribution of X + Y.
1 3 P(X = x) 0.2 0.5 0.3
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a To find Gxt we use the formula for the moment generating function MGF Gxt Eetx sum over all x of e... View full answer
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