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.