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2 marksBinomial Distribution

CAPE Applied Mathematics Unit 1 · 2011 · Paper 2 · Question 3(a)(i)

In a competitive sport, one match in five is won on average. Ten matches are selected at random.

Calculate the probability that the number of matches won is EXACTLY two.

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Other parts of this question

  1. 3(a)(ii)Calculate the probability that the number of matches won is at LEAST four.[3 marks]
  2. 3(b)Determine the mean number of matches won.[2 marks]
  3. 3(c)If 95 matches are selected at random, use a suitable approximation to calculate the probability that between 14 and 21 (inclusive) of the matches are won.[7 marks]
  4. 3(d)(i)Construct the probability distribution table.[4 marks]
  5. 3(d)(ii)Hence, determine P(X > 3).[2 marks]
  6. 3(d)(iii)Calculate E(X) and Var(X).[5 marks]

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