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Get Full Access to Mathematical Statistics With Applications - 7 Edition - Chapter 3 - Problem 155e
Get Full Access to Mathematical Statistics With Applications - 7 Edition - Chapter 3 - Problem 155e

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# Let m(t) = (1/6)et + (2/6)e2t + (3/6)e3t. Find the

ISBN: 9780495110811 47

## Solution for problem 155E Chapter 3

Mathematical Statistics with Applications | 7th Edition

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Problem 155E

Problem 155E

Let m(t) = (1/6)et + (2/6)e2t + (3/6)e3t. Find the following:

a E ( Y )

b V ( Y )

c The distribution of Y

Step-by-Step Solution:

Solution:

Step 1 of 3:

Let

a). To find

By the definition of moment generating function is

If Y = 1,  =

If Y = 2,   =

If Y = 3,   =

Then the expected value is

=

=

Therefore,

Step 2 of 3

Step 3 of 3

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