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2.4 N: Statistical distributions

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Question 110

A botanical study conducted in a vast alpine meadow finds that the probability of a specific mountain flower species exhibiting a rare white-petalled phenotype is 0.06.

a.

Determine the probability that in a random sample of 150 such flowers, there are at least 12 that exhibit the white-petalled phenotype.

[2]
b.

Find the probability that in a random sample of 25 flowers, there are exactly 2 with the white-petalled phenotype.

[2]
c.

Using a suitable approximation, find the probability that in a large-scale survey of 7500 flowers, there are at least 475 with the white-petalled phenotype.

[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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