Please answer the following questions for an assignment!!!

1) A fair (unbiased) die is thrown. Let X be the number shown up.

(a) Find P (|X - E(X)| ≥ 2.5).

(b) Apply Chebyshev's inequality to find an upper bound to the probability P (|X - E(X)| ≥ 2.5).

2) Two fair (unbiased) dice are thrown. Let X be sum of the numbers shown up.

(a) Find the probability mass function of X

(b) FindP(|X-E(X)|≥7).
(c) Apply Chebyshev's inequality to find an upper bound to the probability P (|X - E(X)| ≥ 7).