discrete random variable X has the following probability distribution. x 0 1 2 3 P(X=x) q 4p2 p 0.7 - 4p2 1. Find an expression for q in terms of p. 2. Find the value of p which gives the largest value of E(X) 3. Hence, find the largest value of E(X)

discrete random variable X has the following probability distribution. x 0 1 2 3 P(X=x) q 4p2 p 0.7 - 4p2 1. Find an expression for q in terms of p. 2. Find the value of p which gives the largest value of E(X) 3. Hence, find the largest value of E(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

A discrete random variable X has the following probability distribution.

x	0	1	2	3
P(X=x)	q	4p²	p	0.7 - 4p²

1. Find an expression for q in terms of p.

2. Find the value of p which gives the largest value of E(X)

3. Hence, find the largest value of E(X)

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