4 The numbers, \(M\) and \(F\), of male and female students who leave a particular school each year to study engineering have means 3.1 and 0.8 respectively.
- State, in context, one condition required for \(M\) to have a Poisson distribution.
Assume that \(M\) and \(F\) can be modelled by independent Poisson distributions. - Find the probability that the total number of students who leave to study engineering in a particular year is more than 3 .
- Given that the total number of students who leave to study engineering in a particular year is more than 3 , find the probability that no female students leave to study engineering in that year.