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3 marksBinomial Distribution

CAPE Applied Mathematics Unit 1 · 2022 · Paper 2 · Question 4(a)(i)

The probability of getting an intended number on Bora Bora is 0.95.

Determine the probability of getting at LEAST nine of the intended numbers when ten independent calls are made.

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Other parts of this question

  1. 4(a)(ii)Calculate the mean number of intended numbers and the variance when ten independent calls are made.[2 marks]
  2. 4(a)(iii)Use a suitable approximation to find the probability of FAILING to get the intended number on at least 10 but NOT more than 20 of the calls.[6 marks]
  3. 4(b)(i)If it was found that 0.19% of the computers on a particular occasion had a repair time that was less than 24 hours, show that sigma = 5.5 (to one decimal…[4 marks]
  4. 4(b)(ii)Find the probability that the repair time is MORE than 35 hours.[3 marks]
  5. 4(b)(iii)CompuFix wishes to state in its advertisements that at LEAST 98% of all computers will be repaired in less than a certain number of hours. Determine the…[3 marks]
  6. 4(b)(iv)If a repair time is exceptionally long, CompuFix pays compensation to the customer:…[4 marks]

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