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Let X and Y have a trinomial distribution with parameters

Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman ISBN: 9780321923271 41

Solution for problem 4E Chapter 4.2

Probability and Statistical Inference | 9th Edition

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Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

Probability and Statistical Inference | 9th Edition

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Problem 4E

PROBLEM 4E

Let X and Y have a trinomial distribution with parameters n = 3, pX = 1/6, and pY = 1/2. Find

Note that  in this case. (Indeed, the formula holds in general for the trinomial distribution; see Example 4.3-3.)

References see Example 4.3-3.

Step-by-Step Solution:

Answer

Step 1 of 7

Here the distribution is trinomial distribution with parameters n=3, Px=,Py= 

The pmf of  trinomial distribution is

(


Step 2 of 7

Chapter 4.2, Problem 4E is Solved
Step 3 of 7

Textbook: Probability and Statistical Inference
Edition: 9
Author: Robert V. Hogg, Elliot Tanis, Dale Zimmerman
ISBN: 9780321923271

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Let X and Y have a trinomial distribution with parameters