Page 164, 3.1.12. 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, ..., Xk-2? (c) Determine the conditional pmf of Xk-1 given that X₁= X₁, X₂ = x₂,. (d) What is the conditional expectation E(Xk-1|×1,×2, • • •, Xk-2)? Xk-2 = Xk-2.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 21E
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Please answer page 164 3.1.12. 

Page 164, 3.1.12.* 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, .
‚Xk-2?
(c) Determine the conditional pmf of Xk-1 given that X₁ X₁, X₂ = X2, .
(d) What is the conditional expectation E(Xk-1|x1,x2,
Xk-2)?
Xk-2 = Xk-2
Transcribed Image Text:Page 164, 3.1.12.* 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, . ‚Xk-2? (c) Determine the conditional pmf of Xk-1 given that X₁ X₁, X₂ = X2, . (d) What is the conditional expectation E(Xk-1|x1,x2, Xk-2)? Xk-2 = Xk-2
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