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# If the sample space will have an infinite set of possible

ISBN: 9780321629111 32

## Solution for problem 5E Chapter 3

Probability and Statistics for Engineers and the Scientists | 9th Edition

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Probability and Statistics for Engineers and the Scientists | 9th Edition

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Problem 5E

If the sample space will have an infinite set of possible values? If yes, say why. If no, give an example.

Step-by-Step Solution:

Answer: Step 1 of 1 The sample space S will not have an infinite set of possible values. Suppose the sample space S as the set of all positive integers. This is an infinite set. Now, define the random variable ‘X’ as follows: X = 1, if a randomly selected number from S is less than 10. X = 0, if a randomly selected number from S is greater than or equal to 10. Hence, X has finite number of values.

Step 2 of 1

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If the sample space will have an infinite set of possible