The police department in a large city has installed a traffic camera at a busy intersection. Any car that runs a red light will be photographed with its license plate visible, and the driver will receive a citation. Suppose that during the morning rush hour of weekdays, an average of 10 drivers are caught running the red light per day by this system.
a. Find the probability that during the morning rush hour on a given weekday this system will catch
i. Exactly 14 drivers (use the appropriate formula)
ii. At most 7 drivers (use the appropriate table from Appendix C)
iii. 13 to 18 drivers (use the appropriate table from Appendix C)
b. Let x be the number of drivers caught by this system during the morning rush hour on a given weekday. Write the probability distribution of x. Use the appropriate table from Appendix C.