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5 marksNormal Distribution

CAPE Applied Mathematics Unit 1 · 2017 · Paper 2 · Question 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 probability that a package chosen at random has a mass of more than 68 g.

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  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(c)(i)State FOUR assumptions that are made in applying a binomial model to this experiment.[4 marks]
  3. 4(c)(ii)State a binomial distribution that will model this experiment.[1 mark]
  4. 4(c)(iii)What is the probability that exactly 4 seedlings will NOT survive transplantation?[2 marks]
  5. 4(c)(iv)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…[7 marks]

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