Ch. 6: #3 (given in the book)
Problem: As stated in class, E(XY)=E(X)E(Y) for independent random variables X,Y. Prove that in the case when X takes values x_1,...,x_n with probabilities p_1,...,p_n and Y takes values y_1,...,y_m with probabilities q_1,...,q_m.
Problem: Let X be the number of heads in 10 coin tosses. Compute E(X) and sigma(X).
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