Let x and y be bernoulli random variables let z x y show

Assignment Help Basic Statistics

1. Let X and Y be Bernoulli random variables. Let Z = X + Y

a. Show that if X and Y cannot both be equal to 1, then Z is aBernoulli random variable.

b. Show that if X and Y cannot both be equal to 1, then Pz =Px + Py

c. Show that if X and Y can both be equal to 1, then Z is not aBernoulli random variable.

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