The cable technician guarantees he'll arrive sometime between 8 AM and noon, but he can't be any more specific than that.
a. What is the probability that he will come in between 9:30 and 10:45 AM?
b. You have a meeting at noon, and you're hoping that the cable technician will come before 11:30 AM so you'll have time to get to the meeting. If the cable technician has not come by 10 AM, what is the probability that he will come before 11:30 AM?
c. What is the probability that the next 4 times you need the cable technician to come out, he will come between 9:30 AM and 10:45 AM on at least 3 of those occasions?