(a) Some people were asked which continent they visited on their last holiday. The results are shown in the table below. Continent | Number of people ---|--- North America (NA) | 7 Europe (E) | 15 Asia (A) | 8

1. (a)(i)Find the probability that one of these people, chosen at random, visited North America.[1]
2. (a)(ii)Find the probability that one of these people, chosen at random, did not go to Asia. Give your answer as a fraction in its lowest terms.[1]
3. (a)(iii)Two of these people are chosen at random. The tree diagram opposite shows the possible outcomes and some of their probabilities. [Figure 11.1]
4. (a)(iii)(a)Complete the tree diagram.[2]
5. (a)(iii)(b)What is the probability that the two people went to the same continent?[2]
6. (b)The table shows the distribution of the total cost per person for holidays in 2014 for another group of people. Total cost per person ($c) | Frequency ---|--- 0 ≤ c < 250 | 35 250 < c < 500 | 20 500 < c < 1000 | 15 1000 < c < 2000 | 8 2000 < c < 3500 | 6
7. (b)(i)Draw a histogram to represent this data. [Figure 11.2][3]
8. (b)(ii)Estimate the number of people who spent less than $700 on holidays in 2014.[2]
9. (b)(iii)Of the people who spent less than $250 on holidays in 2014, 2/5 did not go on holiday. How many people did not go on holiday in 2014?[1]

This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.