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Lets X 2 (m) andY 2 (n). Assume X and Y are independent random variables. LetZ=X+Y. What distribution does Z obey? Fill in the blanks.

Lets X2 (m) andY2(n). Assume X and Y are independent random variables. LetZ=X+Y. What distribution does Z obey?

Fill in the blanks.

(a) The sum of two Bernoulli random variables is a_________random vari-able.

(b) The sum of two exponential random variables is a_______random vari-able.(c) The sum of two Poisson random variables is a________random variable.(d) The sum of two normal random variables is a___________random variable

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