Also p; 2 0 for all j = {1, ., k} and E-1P; = 1. What is the value of E(X) and V(X)?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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8

Let X = (x1,..., xk) for some fixed k, be a random variable whose probability
density function is defined as:
n
f(x) =
Pi
x1,..., Xk
Pk
where
()-
n
n!
x1, ..., Xk
x1!, ...x!"
Also p; 20 for all j = {1,…., k} and
and V(X)?
E;=1 Pj = 1. What is the value of E(X)
Transcribed Image Text:Let X = (x1,..., xk) for some fixed k, be a random variable whose probability density function is defined as: n f(x) = Pi x1,..., Xk Pk where ()- n n! x1, ..., Xk x1!, ...x!" Also p; 20 for all j = {1,…., k} and and V(X)? E;=1 Pj = 1. What is the value of E(X)
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