- The discrete random variable \(X\) has the following probability distribution
| \(x\) | 2 | 4 | 7 | 10 |
| \(\mathrm { P } ( X = x )\) | \(a\) | \(b\) | 0.1 | \(c\) |
where \(a , b\) and \(c\) are probabilities.
The cumulative distribution function of \(X\) is \(\mathrm { F } ( x )\) and \(\mathrm { F } ( 3 ) = 0.2\) and \(\mathrm { F } ( 6 ) = 0.8\)
- Find the value of \(a\), the value of \(b\) and the value of \(c\).
- Write down the value of \(\mathrm { F } ( 7 )\).