If E[X] = 1 and Var(X) = 5, find(a) E[(2 + X)2]:(b) Var(4

Chapter 4, Problem 38P

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QUESTION:

Problem 38P

If E[X] = 1 and Var(X) = 5, find

(a) E[(2 + X)2]:

(b) Var(4 + 3X).

Questions & Answers

QUESTION:

Problem 38P

If E[X] = 1 and Var(X) = 5, find

(a) E[(2 + X)2]:

(b) Var(4 + 3X).

ANSWER:

Solution:

Step1 of 2:

        Given E(X) = 1, Var(X) = 5.

 a). We have to find .

       

          5 = - 1

   Therefore,

   

Now,

                             

                             

                              = 14

 Therefore,


 

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