Let a distribution function be given by F(y)-9±1 y<0 0≤ y ≤1 1sy Then, compute P(-2<YS) a) 8306 7/2 b) 7/4 c) 7/8 d) 2/7 2465 Let X have the probability density function f(x)=√(x+2) -2<x<2 elsewhere .Then, variance of the distribution is a) 2/3 b) 4/3 c) 8/9 d) The given pdf is legible. A coin is flipped twice. Assuming that all four points in the sample space s{(h,h).(h.t).(t. h).(t.t)} are equally likely, what is the conditional probability that both flips land on heads, given that at least one flip lands on heads? a) 1/3 b) 1/2 c) 2/3 d) 1/4 A die is thrown until the outcome 2 has occurred 5 times. What is the mean and variance of the number of times one must throw a die to get the desired outcomes. 3306 24, 120 b) 30,150 c) 5,15 d) 2,5