2026 May TZC P2 Q8(b)

The doctor at the clinic only sees patients with an appointment.
Records show that \(82.6\%\) of patients attend their appointment.
The probability of a patient attending their appointment is independent of any other patient.

2. On a particular day, \(20\) patients each made an appointment to see the doctor.

   1. Find the probability that at least \(13\) of these patients attended their appointment.

   2. Given that at least \(13\) of these patients attended their appointment, find the probability that more than \(2\) patients did not attend their appointment.