Given the joint probabilities of two discrete random variables (X, Y) as below. f(1,1)=4/20, f(1,2)= 3/20, f(1,3)= 1/20, f(2,1)= 2/20, f(2,2)=1/20, f(2,3)= 2/20, f(3,1)= 2/20, f(3,1)=3/20, f(3,3)= 2/20 . Find. i) The mean of a random variable X ii) The variance of random variable X.

Given the joint probabilities of two discrete random variables (X, Y) as below. f(1,1)=4/20, f(1,2)= 3/20, f(1,3)= 1/20, f(2,1)= 2/20, f(2,2)=1/20, f(2,3)= 2/20, f(3,1)= 2/20, f(3,1)=3/20, f(3,3)= 2/20 . Find. i) The mean of a random variable X ii) The variance of random variable X.

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...

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Question

Given the joint probabilities of two discrete random variables (X, Y) as below.
f(1,1)=4/20, f(1,2)= 3/20, f(1,3)= 1/20, f(2,1)= 2/20, f(2,2)=1/20, f(2,3)= 2/20,
f(3,1)= 2/20, f(3,1)=3/20, f(3,3)= 2/20 . Find. i) The mean of a random variable X
ii) The variance of random variable X.

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