Edexcel Paper 3 Specimen — Question 3

Exam BoardEdexcel
ModulePaper 3 (Paper 3)
SessionSpecimen
TopicApproximating Binomial to Normal Distribution
TypeFind parameter from normal approximation

3. For a particular type of bulb, \(36 \%\) grow into plants with blue flowers and the remainder grow into plants with white flowers. Bulbs are sold in mixed bags of 40 Russell selects a random sample of 5 bags of bulbs.
  1. Find the probability that fewer than 2 of these bags will contain more bulbs that grow into plants with blue flowers than grow into plants with white flowers.
    (4) Maggie takes a random sample of \(n\) bulbs.
    Using a normal approximation, the probability that more than 244 of these \(n\) bulbs will grow into blue flowers is 0.0521 to 4 decimal places.
  2. Find the value of \(n\).
    (6)
    (Total 10 marks)