Quelpr
3 marksRandom Variables

CAPE Applied Mathematics Unit 1 · 2012 · Paper 2 · Question 3(c)(ii)

A bakery receives orders for special cakes according to the probability distribution in the table.

Calculate the mean number of orders for special cakes that the bakery will expect on any day.

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)a)Calculate P(R ∪ Q).[2 marks]
  2. 3(a)(i)b)Calculate P(R|Q).[2 marks]
  3. 3(a)(ii)a)State, with reason, whether R and Q are independent.[2 marks]
  4. 3(a)(ii)b)State, with reason, whether R and Q are mutually exclusive.[2 marks]
  5. 3(b)(i)a)Calculate the probability that a randomly chosen student does neither Finance nor Economics.[3 marks]
  6. 3(b)(i)b)Calculate the probability that a randomly chosen student does Economics only or Finance only.[3 marks]
  7. 3(b)(i)c)Calculate the probability that a randomly chosen student does Economics, given that he or she does Finance.[3 marks]
  8. 3(b)(ii)Two students are chosen at random from the class. Calculate the probability that one does Economics only and the other does Finance only.[3 marks]
  9. 3(c)(i)Determine the probability that the bakery will receive more than 6 orders on a given day.[2 marks]

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