Find E(X) for each of the distributions given in Exercise 2.1-3

Chapter 2, Problem 2.2-1

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QUESTION:

Find E(X) for each of the distributions given in Exercise 2.1-3.

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QUESTION:

Find E(X) for each of the distributions given in Exercise 2.1-3.

ANSWER:

Problem 2.2-1

Find E(X) for each of the distributions given in Exercise 2.1-3.

                                                               Step by Step Solution

Step 1 of 6

(a)

The probability mass function is given as,

 

where,

x = 1,2,3,4. and  c = 10. (For c value refer solution of Exercise 2.1-3)

For each value of x,

The equation for E(X) is give as,

The expected value function is the sum of the product of  x value and its pmf value,ie;

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