Let X₁ och X₂ be two independent binomial distributed variables, where X₁ Bin(2, 0.3) and X₂ Bin(2, 0.5). Let U= max{X₁, X2}and let V= min(X₁, X₂). a. Determine the probability P(U-V) b. Determine the simultaneous distribution p(x)=P(U=u, V=v). c. Determine the conditional distribution P(VIU) of V given U. (State the conditional mass function p(v|u).)

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