Question 2 [14 marks] Truck driving as an occupation is more of a lifestyle than a job. It involves long hours of solitude, different routines, and time away from family. According to the president and CEO of the Women in Trucking Association, 7% of truck drivers are women. Suppose four truck drivers are selected at random.

a. [4 marks] What is the probability that at least three are women?

b. [2 marks] What is the probability that exactly two are women?

c. Suppose another random sample of four truck drivers is obtained.

i. [4 marks] What is the probability that there is exactly one woman in each group?

ii. [4 marks] What is the probability that there is at least one woman in each group?