Elementary Statistics Using Excel (6th Edition)
6th Edition
ISBN: 9780134506623
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 5, Problem 1CQQ
To determine
If the random variable x is a
Expert Solution & Answer
Answer to Problem 1CQQ
No, the random variable x does not follow the probability distribution.
Explanation of Solution
Given info:
The random variable x takes values of 0, 1, 2, and 3. Also, each of the value for the random variable has an equal probability of
Requirements:
The following requirements should be satisfied for the distribution to follow the probability distribution.
- 1. The given random variable (x) must take up numerical values and it should have its corresponding probabilities.
- 2. The sum of all the probabilities must be equal to 1. That is,
- 3. The probability values must lie between 0 and 1(inclusive). That is,
Here, the random variable x takes the numerical values from 0 to 3. Also, each value of x has its corresponding probability. Hence, the requirement 1 is satisfied.
The sum of all probabilities is:
Hence, the requirement 2 is not satisfied.
In the given distribution, all the values of P(x) for the random variable x lie between 0 and 1. Hence, the requirement 3 is satisfied.
Since, the requirement 2 is not satisfied the random variable x does not follow the probability distribution.
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Chapter 5 Solutions
Elementary Statistics Using Excel (6th Edition)
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