Solved: Determine the value c so that each of the

Chapter 4, Problem 3.5

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QUESTION:

Determine the value c so that each of the following functions can serve as a probability distribution of the discrete random variable X: (a) f(x)=c(x2 + 4), for x =0 ,1,2,3; (b) f(x)=c2 x 3 3x, forx =0 ,1,2.

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QUESTION:

Determine the value c so that each of the following functions can serve as a probability distribution of the discrete random variable X: (a) f(x)=c(x2 + 4), for x =0 ,1,2,3; (b) f(x)=c2 x 3 3x, forx =0 ,1,2.

ANSWER:

Problem 3.5

Determine the value c so that each of the following functions can serve as a probability distribution of the discrete random variable X:

(a)

(b)

                                                              Step by Step Solution

Step 1 of 2

(a)

Given,

To determine the value c we have to add the values of function for x = 0 to 3.

Therefore,

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