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Approximating a Binomial Distribution

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Question 17

The probability that a specific variety of tomato seed fails to germinate is 0.06. A gardener plants several trays of these seeds.

Find the probability that

a.

a tray containing 25 seeds has exactly 2 seeds that fail to germinate.

[2]
b.

a larger batch of 100 seeds has more than 8 seeds that fail to germinate.

[3]
c.

A commercial greenhouse plants a large shipment of 800 seeds.

Using a suitable approximation, find the probability that the greenhouse's shipment will contain less than 40 seeds that fail to germinate.

[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