Quelpr
3 marksBinomial Distribution

CAPE Applied Mathematics Unit 1 · 2008 (second paper) · Paper 2 · Question 3(a)(ii)b)

A box contains 8 red candles and 12 green candles, identical except for colour.

Determine the probability that exactly two of the three candles selected are red.

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  1. 3(a)(i)Determine the probability of selecting a green candle when one is chosen at random.[2 marks]
  2. 3(a)(ii)a)Three candles are randomly selected from the box. Using R for red and G for green, list the elements of the sample space.[2 marks]
  3. 3(b)(i)State, with a statistical reason, whether events A and B are mutually exclusive.[2 marks]
  4. 3(b)(ii)State, with a statistical reason, whether events A and B are independent.[2 marks]
  5. 3(c)(i)Find the probability that a randomly chosen student studies neither French nor Spanish.[3 marks]
  6. 3(c)(ii)Find the probability that a randomly chosen student studies French only.[2 marks]
  7. 3(c)(iii)Find the probability that a student studies French given that they study Spanish.[2 marks]
  8. 3(d)(i)Show that X is a valid random variable.[2 marks]
  9. 3(d)(ii)Calculate the mean and standard deviation of X.[5 marks]

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