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2.4 N: Statistical distributions

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Question 143

A large-scale ecological study on urban honeybee colonies indicates that 40% of hives survive a particularly harsh winter without human intervention. A researcher monitors a random sample of 20 hives in a specific district.

a.

Find the probability that exactly 7 of these hives survive.

[2]
b.

Find the probability that at least 4 of these hives survive.

[3]
c.

In a regional survey involving a larger sample of 150 hives, use a suitable approximation to determine the probability that the number of surviving hives is between 52 and 70 inclusive.

[4]
Markscheme

2.4 N: Statistical distributions Questions

  1. A Level
  2. /Maths
  3. /2.4 N: Statistical distributions

390 exam-style questions on AQA A Level Maths 2.4 N: Statistical distributions, covering 2.4.1 Discrete distributions and the binomial, 2.4.2 The Normal distribution (A-level only), and 2.4.3 Selecting an appropriate distribution (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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