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Suppose you toss two fair coins, with four possible outcomes. x = heads and y =...

Suppose you toss two fair coins, with four possible outcomes. x = heads and y = tails

What is E(w) if w = 2x+3y?

Math   Statistics-And-Probability   
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Answer #1

P(head) = P(tail) = 0.5

E(x) = 0.5 * 2 = 1

E(y) = 0.5 * 2 = 1

E(w) = E(2x + 3y) = 2 * E(x) + 3 * E(y) = 2 * 1 + 3 * 1 = 5

                                                                       

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