1 A competitor in a throwing event has three attempts to throw a ball as far as possible. The random variable \(X\) denotes the number of throws that exceed 30 metres. The probability distribution table for \(X\) is shown below.
| \(x\) | 0 | 1 | 2 | 3 |
| \(\mathrm { P } ( X = x )\) | 0.4 | \(p\) | \(r\) | 0.15 |
- Given that \(\mathrm { E } ( X ) = 1.1\), find the value of \(p\) and the value of \(r\).
- Find the numerical value of \(\operatorname { Var } ( X )\).