Question: Consider the random variables T and Z below. f(t) = t 2 0 t 1 9 8 (t 3)2 2 t 4 0 else p(z)

Consider the random variables T and Z below. f(t) = t 2 0 t 1 9 8 (t 3)2 2 t 4 0 else p(z) = 0.2 z = 1 0.5 z = 2 0.25 z = 3 0.05 z = 4 1. Determine E(T) and E(Z). 2. Determine V (T) and V (Z). 3. Determine E(Z T). What assumptions, if any, are needed? 4. Determine V (Z T). What assumptions, if any, are needed

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