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-1x1,x2,..., Xk-2)? , Xk-2 = Xk-2.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question

please only answer part d, parts a,b,c have already been answered. 

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, . . . , Xk-2 = Xk-2.
=
(d) What is the conditional expectation E(Xk-1|x1,x2,..., 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, . . . , Xk-2 = Xk-2. = (d) What is the conditional expectation E(Xk-1|x1,x2,..., xk-2)?
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer