Question: Let X 1 and X 2 be i.i.d. normal (0, 2 ) random variables. The distribution of X 1+ X 2 is ? a. normal(0,

Let X1 and X2 be i.i.d. normal (0,2 ) random variables.

The distribution of X1+X2 is ?

a. normal(0, 22 )

b. normal (0, 22 )

c. gamma (21,221)

d. gamma (1, 221 )

e. gamma (1, 22 )

The distribution of X12 + X22 is?

a. normal(0, 22 )

b. normal (0, 22 )

c. gamma (21,221)

d. gamma (1, 221 )

e. gamma (1, 22 )

Please explain your answer.

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