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7 marksNormal Distribution

CAPE Applied Mathematics Unit 1 · 2017 · Paper 2 · Question 4(c)(iv)

During an experiment, 8% of vegetable seedlings produced will NOT survive transplantation. Fifteen seedlings are transplanted, and X is the number that do NOT survive.

Five hundred seedlings are sent to KG's Gardens. Determine the mean and the variance of the number of seedlings that will NOT survive transplantation, and find the probability that less than 55 seedlings will NOT survive transplantation.

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Other parts of this question

  1. 4(a)Calculate the probability that the person plays badminton, BOTH badminton and tennis, and only one of the sports.[6 marks]
  2. 4(b)The mass, X, of packages of a certain type of breakfast cereal follows a normal distribution with a mean of 60 g and a standard deviation of 5 g. Calculate the…[5 marks]
  3. 4(c)(i)State FOUR assumptions that are made in applying a binomial model to this experiment.[4 marks]
  4. 4(c)(ii)State a binomial distribution that will model this experiment.[1 mark]
  5. 4(c)(iii)What is the probability that exactly 4 seedlings will NOT survive transplantation?[2 marks]

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