5 Applicants for a pilot training programme with a passenger airline are screened for colour blindness. Past records show that the proportion of applicants identified as colour blind is 0.045
- Write down a suitable model for the distribution of the number of applicants identified as colour blind from a total of \(n\) applicants.
- State one assumption necessary for this distribution to be a suitable model of this situation.
- Using a suitable approximation, find the probability that exactly 5 out of 120 applicants are identified as colour blind.
- Explain why the approximation that you used in part (c) is appropriate.
Jaymini claims that 75\% of all applicants for this training programme go on to become pilots.
From a random sample of 96 applicants for this training programme 67 go on to become pilots.
- Using a suitable approximation, test Jaymini's claim at the \(5 \%\) level of significance. State your hypotheses clearly.