Assume that each vehicle passing a speed trap on I-44 between Rolla and St. Louis will be exceeding 90 MPH with probability 0.3. The state police will give a $200 ticket to each driver that surpasses 90 MPH, while all other drivers will not be issued a ticket.
- What is the probability that the 5th ticket is given to the 10th car that passes through the trap? Give the name and parameter values of the distribution you used.
- Once the state police have issued $5000 in tickets, the officers will stop for the day. What is the expected number of total vehicles that pass through the trap before the officers stop for the day? Give the name and parameter values of the distribution you used.