Expected value and linear expectation of a discrete random variable
A model reports one integer result for each possible outcome
Let \(X\) be the discrete random variable in the table below
The probability mass function for the stated values is
\[p(x)=\frac{x-2}{6}\]
| \(x\) | \(\Pr(X=x)\) | \(x\Pr(X=x)\) |
|---|---|---|
| \(3\) | \(\frac{1}{6}\) | \(\square\) |
| \(4\) | \(\frac{1}{3}\) | \(\square\) |
| \(5\) | \(\frac{1}{2}\) | \(\frac{5}{2}\) |
What is the expected value of \(X\)?