Expected value and linear expectation of a discrete random variable
A discrete process records an integer score for each result
Let \(X\) be the discrete random variable in the table below
The table gives the exact probability distribution of \(X\)
| \(x\) | \(\Pr(X=x)\) | \(x\Pr(X=x)\) |
|---|---|---|
| \(3\) | \(\frac{4}{7}\) | \(\square\) |
| \(4\) | \(\frac{1}{7}\) | \(\frac{4}{7}\) |
| \(5\) | \(\frac{2}{7}\) | \(\square\) |
Find the mean of \(X\)