STOR 435 Exam 2 Fall 2009 (1) Check \"true\" or \"false\". (1.1 If X N Exponential (A), Y N Exponential (,u,), and P(X S 1) 1) > P(Y > 1), then 331 > p2. (1.3 If X ~ Uniform (1, 1), Y ~ Uniform (c,c), and VarY = 2 Va'rX, then c = 2. ) l l (1.4) If X and Y are iid with X ~ Poisson (1), then 2X + Y ~ Poisson (3). (1.5) If X and Y are iid with X N Poisson (1), then Var(2X Y) = 5. l (1.6 Let X and Y denote the total numbers of heads and tails among 5 tosses of a coin (p) with p 2) > P(Y > 2). (1.7) If the indicators I A, I B satisfy P(IA > I B) = 1/2, and A, B are mutually exclusive, then P(A) = 1/2. (1.8) Let X and Y denote the total numbers of heads and tails among 4 tosses of a fair coin, then P(X Y = 1): 0