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can any1 please help me with the following proofs? thanks

let X and Y be random variables. prove the following:

(a) if X = 1, then E(X) = 1

(b) If X ≥ 0, then E(X) ≥ 0

(c) If Y ≤ X, then E(Y) ≤ E(X)

(d) |E(X)|≤ E(|X|)

(e) E(X)= [tex]\sum[/tex]P(X≥n)

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# Homework Help: Proof for expectation

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