7. Let X be a random variable with the following probability distribution Value x of X 2 3 34 4 5 6 7 a) Find the expectation E(X) of X E(X)= b) Find the variance Var(X) of X Var(x) = P(X=x) 0.15 0.10 0.35 0.05 0.20 0.15

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A: Result used  Y=ax+b  E(Y)=aE(X)+b  V(Y)=a2V(X)  Var(X)=E(X2)-(E(X))2

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