Concept explainers
Obtain the probability distribution of the random variable
Answer to Problem 1E
Therefore, the probability distribution of Y is provided below:
Explanation of Solution
In this context, let X be the random variable and the probability distribution of X is provided below:
Since the random variable X takes the values from 1 to 3, the random variable Y will take the following values.
Here,
For x=1
In similar ways, the remaining values are obtained.
X | 1 | 2 | 3 |
1 | 3 | 5 |
Theorem 7.1 states that X is a discrete random variable with probability distribution f(x). It is assumed that
Express x as a function of y using Theorem 7.1.
Therefore, the probability distribution of Y is provided below:
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Chapter 7 Solutions
Probability & Statistics for Engineers & Scientists, MyLab Statistics Update (9th Edition)
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