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An urn contains 7 red and 11 white balls. Draw one ball at

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

Solution for problem 1E Chapter 2.4

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 1E

An urn contains 7 red and 11 white balls. Draw one ball at random from the urn. Let X = 1 if a red ball is drawn, and let X = 0 if a white ball is drawn. Give the pmf, mean, and variance of X.

Step-by-Step Solution:

Answer:

Step 1 of 2:

              Given that, an urn contains 7 red and 11 white balls.

                    Total balls (R+W)  = 7 + 11

                                                   = 18.

         Let  X =1 if a red ball is drawn.

          That is, P(X =1) =

        Let X = 0 if a white ball is drawn.

        That is, P(X = 0) =

 

Step 2 of 2

Chapter 2.4, Problem 1E is Solved
Textbook: Probability and Statistical Inference
Edition: 9
Author: Robert V. Hogg, Elliot Tanis, Dale Zimmerman
ISBN: 9780321923271

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