A bus is scheduled to arrive at any time from 09:10 to 09:30. Its arrival time is modelled as continuous uniform over this interval. A passenger arrives at 09:16 and observes that the bus has not yet arrived.
Find the probability that the passenger waits no more than 8 minutes.
State one assumption made by the model.
328 exam-style questions on WJEC A Level Maths 4.2 Statistical distributions (A-level only), covering 4.2.1 Statistical distributions (A-level only), 4.2.2 Statistical distributions (A-level only), and 4.2.3 Statistical distributions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.