4. A rugby player scores an average of 0.4 tries per match in which he plays.
- Find the probability that he scores 2 or more tries in a match.
The team's coach moves the player to a different position in the team believing he will then score more frequently. In the next five matches he scores 6 tries.
- Stating your hypotheses clearly, test at the \(5 \%\) level of significance whether or not there is evidence of an increase in the number of tries the player scores per match as a result of playing in a different position.
(5 marks)