Let X₁, X2, ..., XK-1 have a multinomial distribution. (a) Find the mgf of X₁, X₂, ..., XK-2. (b) What is the pmf of X₁, X2, X3, . . .,Xk-2? (c) Determine the conditional pmf of XK-1 given that X₁ X₁, X₂ = x₂,. (d) What is the conditional expectation E(XK-11 X₁, X2, ..., Xk-2) ? Xk-2 = Xk-2.

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