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2.4.4 Mean and variance of the binomial (A-level only)

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Question 32

An autonomous drone delivery service observes that the probability of a drone failing to land within the designated landing zone is 0.08.

a.

Find the probability that, in a random sample of 50 landings, fewer than 3 drones fail to land in the designated zone.

[3]
b.

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.

[5]

2.4.4 Mean and variance of the binomial (A-level only) Questions

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