Statement: Let X be a random variable with density f(x) = 0.5e^(-|x|), (-[infinity] < x < 0). Find: (a) P(X < 1); (b) E(X) and SD(X); (c) the variance of X.
Options:
a) P(X < 1) = 0.5, E(X) = 0, SD(X) = 0.5, Var(X) = 0.25
b) P(X < 1) = 0.5, E(X) = 0, SD(X) = 1, Var(X) = 1
c) P(X < 1) = 0.5, E(X) = 1, SD(X) = 1, Var(X) = 1
d) P(X < 1) = 0.5, E(X) = 1, SD(X) = 0.5, Var(X) = 0.25