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Approximating a Binomial Distribution

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Question 19

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]

Approximating a Binomial Distribution Questions

  1. A Level
  2. /Maths
  3. /Approximating a Binomial Distribution

Practise Edexcel A Level Maths Approximating a Binomial Distribution with exam-style questions for A Level Maths. 68 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank