1. A fair coin is tossed 10 times. Let X denote the number of heads obtained. Find the following.
(a) P(X = 7)
(b) P(X ≤ 7)
(c) P(X > 0)
(d) E(X) and Var(X)
2. Let X be a Poisson random variable with λ = 1/3. Find
(a) P(X = 0)
(b) P(X ≥ 4).
3. For a standard normal random variable Z, ?nd the value of z0 such that
(a) P(Z > z0) = 0.05
(b) P(Z <>0) = 0.88
(c) P(Z <>0) = 0.10
(d) P(Z > z0) = 0.95.