AQA S3 2007 June — Question 2

Exam BoardAQA
ModuleS3 (Statistics 3)
Year2007
SessionJune
TopicConditional Probability
TypeDice/random device selects population

2 A hill-top monument can be visited by one of three routes: road, funicular railway or cable car. The percentages of visitors using these routes are 25, 35 and 40 respectively. The age distribution, in percentages, of visitors using each route is shown in the table. For example, 15 per cent of visitors using the road were under 18 .
\multirow{2}{*}{}Percentage of visitors using
RoadFunicular railwayCable car
\multirow{3}{*}{Age (years)}Under 18152510
18 to 64806055
Over 6451535
Calculate the probability that a randomly selected visitor:
  1. who used the road is aged 18 or over;
  2. is aged between 18 and 64;
  3. used the funicular railway and is aged over 64;
  4. used the funicular railway, given that the visitor is aged over 64.