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The Normal Distribution

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Question 251

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

The Normal Distribution Questions

  1. A Level
  2. /Maths
  3. /The Normal Distribution

616 exam-style questions on Edexcel A Level Maths The Normal Distribution, covering 3.1 The Normal Distribution, 3.2 Finding Probabilities for Normal Distributions, 3.3 The Inverse Normal Distribution Function, 3.4 The Standard Normal Distribution, 3.5 Finding the mean and standard deviation, 3.6 Approximating a Binomial Distribution, and 3.7 Hypothesis Testing with the Normal Distribution. Each one has a worked solution and a mark scheme showing where the marks go.

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