Question A4 Suppose in the coming summer, the probability that Anthony will find a summer job is 0.49 and the probability that Brian will find a summer job is 0.83. The probability that both Anthony and Brian will find a summer job in the coming summer is 0.4. (Let A be the event that Anthony will find a summer job and B be the event that Brian will find a summer job in the coming summer.) (a) Find the probability that Brian will not find a summer job in the coming summer. Correct your answer to 2 decimal places. (1 mark) (b) Find the probability that Anthony will find a summer job, but Brian will not. Correct your answer to 2 decimal places. (3 marks) (c) Find the probability that Anthony or Brian or both of them will find a summer job in the coming summer. Correct your answer to 2 decimal places. (3 marks) (d) Explain if event A and event B are mutually exclusive. (2 marks) (e) Given that Anthony has already found a summer job, find the probability that Brian will also find a summer job in the coming summer. Correct your answer to 4 decimal places. (3 marks) (f) Use the result in part (e) to explain if event A and event B are independent. (2 marks)