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2 marksNormal Distribution

CAPE Applied Mathematics Unit 1 · 2012 · Paper 2 · Question 4(b)(iv)

The weight, X, of cabbages is normally distributed with mean 630 g and standard deviation 14.5 g.

A supermarket buys cabbages between 610 and 650 grams. If a farmer has 65 cabbages for sale, determine the number expected to be sold to the supermarket.

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Other parts of this question

  1. 4(a)(i)State the distribution and its parameters for which X can be modelled.[2 marks]
  2. 4(a)(ii)a)Calculate the probability that exactly THREE customers pay with cash for their petrol.[3 marks]
  3. 4(a)(ii)b)Calculate the probability that at least ONE customer pays with cash.[2 marks]
  4. 4(a)(iii)If 40 persons buy petrol, determine the number of them that are expected to pay with cash.[2 marks]
  5. 4(b)(i)Calculate the probability that a cabbage chosen at random will have a weight greater than 650 grams.[4 marks]
  6. 4(b)(ii)Twenty per cent of cabbages were classified as large. Calculate the weight that these cabbages must exceed to be classified as large.[5 marks]
  7. 4(b)(iii)Calculate the probability that a cabbage weighs between 610 grams and 650 grams.[5 marks]

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