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5 marksNormal Distribution

CAPE Applied Mathematics Unit 1 · 2008 · Paper 2 · Question 4(a)

Contents of bottles of pepper sauce are normally distributed with mean 100 ml and standard deviation 5 ml.

Show that the probability of a randomly selected bottle containing more than 99.8 ml of pepper sauce is approximately 0.516.

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Other parts of this question

  1. 4(b)Eighty-one per cent of the bottles contain less than k ml of pepper sauce. Calculate the value of k.[6 marks]
  2. 4(c)(i)Calculate the probability that at least 1 of these 7 bottles contains more than 99.8 ml of pepper sauce.[7 marks]
  3. 4(c)(ii)Determine the expected number of these 7 bottles that contain more than 101 ml of pepper sauce.[7 marks]

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