3 The number of goals scored per match by Everly Rovers is represented by the random variable \(X\) which has mean 1.8.
- State two conditions for \(X\) to be modelled by a Poisson distribution.
Assume now that \(X \sim \operatorname { Po } ( 1.8 )\).
- Find \(\mathrm { P } ( 2 < X < 6 )\).
- The manager promises the team a bonus if they score at least 1 goal in each of the next 10 matches. Find the probability that they win the bonus.