Quelpr
7 marksNormal Distribution

CAPE Applied Mathematics Unit 1 · 2015 · Paper 2 · Question 4(c)

Statistics examination scores are approximately normally distributed with mean 68 and standard deviation 8. Grade A is awarded for scores above 82.

Determine the percentage of students who will get a Grade A.

The mark scheme is shown once you've answered.

Practise this question

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)a)Calculate the probability that at any moment EXACTLY 4 lines will be engaged.[3 marks]
  6. 4(b)(ii)b)Calculate the probability that at any moment AT LEAST 1 line will be engaged.[3 marks]

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