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The Normal Distribution

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Question 10

A botanical research company specializes in a hybrid variety of orchid seeds. It is found that the probability of a single seed producing a 'Gold-veined' flower is 0.2.

a.

Determine the probability that in a randomly selected packet of 25 seeds, exactly 3 seeds produce Gold-veined flowers.

[3]
b.

A wholesaler purchases 5 of these 25-seed packets. Calculate the probability that exactly two of these packets contain at least 8 seeds that produce Gold-veined flowers.

[4]
c.

A large experimental plot is planted with n n\,n seeds of this hybrid orchid. Using a normal approximation, it is found that the probability that at least 95 seeds produce Gold-veined flowers is 0.0401. Find the value of nnn.

[5]

The Normal Distribution Questions

  1. A Level
  2. /Maths
  3. /The Normal Distribution

Practise Edexcel A Level Maths The Normal Distribution with exam-style questions for A Level Maths. 439 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