Assume that each time that I commute to the place, the probability I see a police officer on any given day is 0.85. If I commute 7 days a week, solve the following problems:
(a) Determine the probability I see a police officer on exactly 4 of the days I commute.
(b) Determine the probability I see a police officer on at most 5 of the days I commute.
(c) The expected number of days I see a police officer.
(d) If I see a police officer on 3 of the days I commute, what is the probability that I see 2 more?