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3 marksBinomial Distribution

CAPE Applied Mathematics Unit 1 · 2015 · Paper 2 · Question 4(b)(ii)a)

A business has 10 telephone lines. The probability that any line is engaged at any moment is 0.3 independently. Y is the number of engaged lines.

Calculate the probability that at any moment EXACTLY 4 lines will be engaged.

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Other parts of this question

  1. 4(a)(i)Prepare a probability distribution table to show this information, giving values to 3 decimal places.[3 marks]
  2. 4(a)(ii)Calculate P(2 <= X <= 4).[3 marks]
  3. 4(a)(iii)Calculate the expected number of errors per page.[3 marks]
  4. 4(b)(i)Name the distribution of Y, and state its parameters.[3 marks]
  5. 4(b)(ii)b)Calculate the probability that at any moment AT LEAST 1 line will be engaged.[3 marks]
  6. 4(c)Determine the percentage of students who will get a Grade A.[7 marks]

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