stochastic independence and random variables
Suppose X1 and X2 are stoch. indep. Bernoulli RVs with params p1 and p2 respectively. Let Y = X1X2 and W = X1 + X2. I need to determine whether the following statements are true or false so just give me a clue please, I'd like to work it out myself. If no tip can be given without giving it away please say so.
1. the RV Y ~ Bernoulli(p_1p_2)
2. What is the general formula for finding the variance of a RV of the form Z = XY (X and Y both RVs).
Thanks in advance.