Please use this formula I provided to solve the questions. Answer in A4 papers. with eligible handwriting . Thanks.

5. The police department in a large city has installed a traffic camera at a busy intersection. Any car that runs in reds 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 5 drivers are caught running the red light by this system. (a) It is possible that during the morning rush hour on a given weekday, this system will catch no driver? Justify your answer. (3 marks) (b) It is high probability that during the morning rush hour on a given weekday, this system will catch more than 5 drivers? Explain. (3 marks) (c) It is possible that during the morning rush hour on two given weekdays, this system will catch a total of more than 20 drivers? Justify your answer. (4 marks)Painter Sty 6. The weights of the packages of a certain brand of cookies is normally distributed with a mean of 32 ounces and a standard deviation of 0.3 ounce. Pi (a) It is possible that the mean weight of a random sample of 25 packages of this brand of cookies will be more than 32.15 ounces? Justify your answer. (4 marks) (b) Can the mean weight of a random sample of 36 packages of this brand of cookies less than 31.8 or more than 32.5 ounces? Explain (6 marks) H Sh