with X; ~ Suppose Xi, Yi, Zi, i = 1,..., n, are independent Bernoulli random variables,...

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with X; ~ Suppose Xi, Yi, Zi, i = 1,..., n, are independent Bernoulli random variables, Bern(0), Y~ Bern(n), Z; ~ Bern(7), where 0,n, (0,1). Define S = X, T = |XY and U = Ei=1 XiZi. (a) Find Cov(S, T) and Cov(T, U). (b) Show that T/S converges in probability to n as n . with X; ~ Suppose Xi, Yi, Zi, i = 1,..., n, are independent Bernoulli random variables, Bern(0), Y~ Bern(n), Z; ~ Bern(7), where 0,n, (0,1). Define S = X, T = |XY and U = Ei=1 XiZi. (a) Find Cov(S, T) and Cov(T, U). (b) Show that T/S converges in probability to n as n .