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Let .S; P / be the sample space with S D f1; 2; 3; : : : ; 10g and P .a/ D 1 10 for all

Mathematics: A Discrete Introduction | 3rd Edition | ISBN: 9780840049421 | Authors: Edward A. Scheinerman ISBN: 9780840049421 447

Solution for problem 33.2 Chapter 33

Mathematics: A Discrete Introduction | 3rd Edition

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Mathematics: A Discrete Introduction | 3rd Edition | ISBN: 9780840049421 | Authors: Edward A. Scheinerman

Mathematics: A Discrete Introduction | 3rd Edition

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Problem 33.2

Let .S; P / be the sample space with S D f1; 2; 3; : : : ; 10g and P .a/ D 1 10 for all a 2 S. For this sample space, define the random variables X and Y by X.s/ D 2s and Y .s/ D s 2 for all s 2 S. Please do: a. Evaluate P .X < 10/. b. Evaluate P .Y < 10/. c. Evaluate .X C Y /.s/. d. Evaluate P .X C Y < 10/. e. Evaluate P .X > Y /. f. Evaluate P .X D Y /. g. Are X and Y independent? Justify your answer.

Step-by-Step Solution:
Step 1 of 3

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Step 2 of 3

Chapter 33, Problem 33.2 is Solved
Step 3 of 3

Textbook: Mathematics: A Discrete Introduction
Edition: 3
Author: Edward A. Scheinerman
ISBN: 9780840049421

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Let .S; P / be the sample space with S D f1; 2; 3; : : : ; 10g and P .a/ D 1 10 for all