An autonomous drone delivery service observes that the probability of a drone failing to land within the designated landing zone is 0.08.
Find the probability that, in a random sample of 50 landings, fewer than 3 drones fail to land in the designated zone.
The service completes 800 deliveries over the course of a weekend.
Using a suitable approximation, estimate the probability that more than 75 drones fail to land in the designated zone.
67 exam-style questions on OCR A Level Maths 2.4.4 Mean and variance of the binomial (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.