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Approximating a Binomial Distribution

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Question 10

A botanical research study finds that 45% of seeds from a specific hybrid perennial germinate within the first 10 days of being sown. The seeds are packaged in sachets of 20 for commercial sale. A sachet is selected at random.

a.

Determine the probability that the sachet contains exactly 9 seeds that germinate within 10 days.

[2]
b.

Determine the probability that there are at least 13 seeds in the sachet that germinate within 10 days.

[2]
c.

Using a suitable approximation, find the probability that in a bulk tray of 200 seeds, between 80 and 105 seeds (inclusive) germinate within 10 days.

[3]

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