Skip to content
MathsGenie logo
Open app

Course home

  1. A Level
  2. Maths Edexcel
  3. Question bank

Approximating a Binomial Distribution

MediumHard
12345678910111213
Question 2

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]

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