and are independednt if:

for all and in the appropriate sample spaces. Let , does this hold?

The possible values of Z_1 are 0, 1, 2 calculate their probabilities.(b) Find the distribution of Z1 = X1 + Y1.

(c) Suppose n is 500. What is the approximate distribution of

1/500 (500)sigma(i=1)Xi +1/500 (500)sigma(i=1)Yi

Now the 's are iid so the is the mean of a sample of size for a sample from the same distribution as ... so is approximatly normally distributed with mean and variance ...

CB