The probability distribution of the random variable X is shown in the following table. x -2 -1 0 1 2 3P(X=x) 0.08 p 0.12 0.16 q 0.22 The mean of X is 1.05.(i) Write down two equations involving p and q and hence find the values of p and q.(ii) Find the variance of X.

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Answered: (i) Write down two equations involving…

Math

Statistics

(i) Write down two equations involving p and q and hence find the values of p and q. (ii) Find the variance of X.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

The probability distribution of the random variable X is shown in the following table.

x	-2	-1	0	1	2	3
P(X=x)	0.08	p	0.12	0.16	q	0.22

The mean of X is 1.05.

(i) Write down two equations involving p and q and hence find the values of p and q.

(ii) Find the variance of X.

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