Based on previous records, 17% of the vehicles passing through a tollbooth have out-of-state plates. A bored tollbooth worker decides to pass the time by counting how many vehicles pass through until he sees two with out-of-state plates.27

(a) Describe the design of a simulation to estimate the average number of vehicles it takes to find two with out-of-state plates. Explain clearly how you will use the partial table of random digits below to carry out your simulation.

(b) Perform three repetitions of the simulation you described in part (a). Copy the random digits below onto your paper. Then mark on or directly above the table to show your results.

4 1 0 5 0 9 2 0 3 1 0 6 4 4 9 0 5 0 5 9 5 9 8 8 4 3 1 8 8 0 5 3 1 1 5 8 4 4 6 9 9 4 8 6 8 5 7 9 6 7 0 5 8 1 1 8 4 5 1 4 8 4 1 7 7 0 6 7 5 7 1 7 6 1 3 1 5 5 8 2 5 1 5 0 6 8 1 4 3 5 7 5 0 1 1 1 3 0 0 6 6 3 3 9 5 5 5 0 4 1 1 5 8 6 6 0 6 5 8 9