Quelpr
6 marksRandom Variables

CAPE Applied Mathematics Unit 1 · 2017 · Paper 2 · Question 3(c)(ii)

A discrete random variable X has a given probability distribution.

Calculate E(X) and Var(X).

This question uses a figure or table from the paper — you'll see it when you practise.

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  1. 3(a)(i)Calculate P(N).[3 marks]
  2. 3(a)(ii)State, with reason, whether M and N are independent, and whether M and N are mutually exclusive.[4 marks]
  3. 3(b)(i)In the space provided, draw a clearly labelled tree diagram to show this information.[4 marks]
  4. 3(b)(ii)Calculate the probability that an item, selected at random, is defective.[3 marks]
  5. 3(b)(iii)Given that an item selected at random is defective, calculate the probability that it is an item for export. Give your answer correct to three significant…[3 marks]
  6. 3(c)(i)Determine the value of p.[2 marks]

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