The random variable X takes only the values 0, ±1, ±2. In addition, it is known that

P(-1

P(X=0)=0.2

P(|X| ≤ 1) = 0.35

P(X ≥ 2)=P(X=1 or -1)

(a) Find the probability distribution of X

(b) Compute E[X]