1 a fair coin is tossed 10 times letnbspxnbspdenote the

Question

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.