Let \(X\) be a random variable with the following pmf:
| \(x\) | \(P(X=x)\) |
|---|---|
| -1 | 0.500 |
| 0 | 0.250 |
| 1 | 0.125 |
| 2 | 0.125 |
- What is the mean of \(X\)?
- What is the pmf of \(Y = 2X-3\)?
- What is the mean of \(Y\)?
- What is the pmf of \(W = X^2\)?
- What is the mean of \(W\)?
- What is the conditional pmf of \(X\) given \(X \neq 0\)?
- What is the conditional mean of \(X\) given \(X \neq 0\)?