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2.4 Probability Distributions

2.4 Probability Distributions

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Question 200

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]
Markscheme

2.4 Probability Distributions Questions

  1. A Level
  2. /Maths
  3. /2.4 Probability Distributions

390 exam-style questions on OCR (MEI) A Level Maths 2.4 Probability Distributions, covering 2.4.1 Recognise binomial situations, 2.4.2 Probability of success p, 2.4.3 Calculate binomial probabilities, 2.4.4 Mean of the binomial distribution, 2.4.5 Expected frequencies for binomial, 2.4.6 Probability functions and discrete random variables, 2.4.7 Numerical probabilities for a simple distribution, 2.4.8 Normal distribution as a model (A-level only), 2.4.9 Shape of the Normal curve (A-level only), 2.4.10 Linear transformation and standardising (A-level only), 2.4.11 Symmetry and inflection of Normal curve (A-level only), 2.4.12 Calculate probabilities from a Normal distribution (A-level only), 2.4.13 Model with probability distributions, and 2.4 Probability Distributions. Each one has a worked solution and a mark scheme showing where the marks go.

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