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.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 1E
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6.
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-1l X₁, X2, ..., Xk-2)?
Xk-2 = Xk-2.
Transcribed Image Text:6. 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-1l X₁, X2, ..., Xk-2)? Xk-2 = Xk-2.
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