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2 marksProbability Theory

CAPE Applied Mathematics Unit 1 · 2010 · Paper 2 · Question 4(a)(iii)

The probability of rain on any day in September is 0.55, independently from day to day.

What is the probability that it will rain on the fourth, fifth, and sixth of September?

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Other parts of this question

  1. 4(a)(i)How many days in September is it expected to rain?[2 marks]
  2. 4(a)(ii)What is the probability that it will rain on exactly 3 days in the next 7 days?[4 marks]
  3. 4(b)(i)Show that n = 15.[3 marks]
  4. 4(b)(ii)Hence calculate E(Y).[2 marks]
  5. 4(b)(iii)Calculate P(Y = 10).[3 marks]
  6. 4(c)(i)State TWO conditions that should exist for the normal distribution to be used as an approximation for the binomial distribution.[2 marks]
  7. 4(c)(ii)The probability that a pen is faulty is 0.06. In a box of 100 pens, what is the probability that at MOST 5 pens will be faulty?[7 marks]

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