(1)Identify each of the following statements as TRUE or FALSE: (a) Two random variables X and Y are independent if and only if their joint CDF is the product of their individual CDFs; (b) If X and Y are independent random variables, each having a Poisson(Lambda) distribution, the conditional distribution of X given that X+Y = k is Poisson (k/2); (c) Skip (d) If X and Y are two random variables, each having mean mew and variance sigma squared , the two random variables X+Y and X-Y are uncorrelated; (e) If the correlation between two random variables X and Y is r, the correlation between U = aX+b and V=cY+d is (acr+bd); (f) If U is a Uniform[0.1] random variable, the distribution of V= ln(1/(1-U) is Exponential (1). Solution a) true b) false d) false f) true as far as i think.