Expected value and linear expectation of a discrete random variable
A finite model assigns a net integer result to each outcome
Let \(X\) be the discrete random variable in the table below
The table gives the exact probability distribution of \(X\)
| \(x\) | \(\Pr(X=x)\) | \(x\Pr(X=x)\) |
|---|---|---|
| \(1\) | \(\frac{1}{10}\) | \(\frac{1}{10}\) |
| \(2\) | \(\frac{1}{5}\) | \(\square\) |
| \(5\) | \(\frac{3}{10}\) | \(\square\) |
| \(6\) | \(\frac{2}{5}\) | \(\square\) |
Determine \(E(X)\) from the distribution