Quelpr
6 marksNormal Distribution

CAPE Applied Mathematics Unit 1 · 2013 · Paper 2 · Question 4(c)(iii)

The probability that a defective tyre is from a particular brand is 0.2.

Using an approximate distribution, calculate an estimate for the probability that a shipment of 500 tyres will have more than 90 defective tyres.

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  1. 4(a)(i)Determine the value of a.[2 marks]
  2. 4(a)(ii)a)Calculate E[X].[3 marks]
  3. 4(a)(ii)b)Calculate Var[X].[3 marks]
  4. 4(a)(ii)c)Calculate P(X ≥ 2).[2 marks]
  5. 4(b)(i)Calculate the value of k.[2 marks]
  6. 4(b)(ii)Show that P(X > 2) = 4/5.[2 marks]
  7. 4(c)(i)What is the probability that he sells exactly 3 defective tyres in the next 10 tyres of that brand?[3 marks]
  8. 4(c)(ii)The supplier expects a shipment of 500 tyres of that brand. How many of these tyres will be expected to be defective?[2 marks]

More practice: the rest of this paper · more Normal Distribution questions · all CAPE Applied Mathematics Unit 1 past papers