Consider the vending machines on campus. There are three different types: snack dispensers, hot drink dispensers, cold drink dispensers. Of the vending machines, 25% sell snacks, 35% sell hot drinks and 40% sell cold drinks. Suppose that servicing is needed by 1/2 the snack machines, 1/5 the hot drink machines and 1/3 the cold drink machines. What is the probability that a machine chosen at random needs servicing?

An airline has a policy of booking as many as 18 persons on an airplane that can seat only 17. past studies have revealed that only 81% of the booked passengers actually arrive for the flight.  find the probability that if the airline books 18 persons not enough seats will be available.

In a recent poll of voters, 20% were displeased with both candidates. If 3 people were picked at random. find the probability that at least one liked one of the candidates.

The Business School at State University currently has three parking lots, each containing 155 spaces. Two hundred faculty members have been assigned to each lot. On a peak day, an average of 70% of all lot 1 parking sticker holders show up, an average of 72% of all lot 2 parking sticker holders show up, and an average of 74% of all lot 3 parking sticker holders show up. a. Given the current situation, estimate the probability that on a peak day, at least one faculty member with a sticker will be unable to find a spot. Assume that the number who show up at each lot is independent of the number who show up at the other two lots. Compare two situations: (1) each person can park only in the lot assigned to him or her, and (2) each person can park in any of the lots (pooling). (Hint: Use the RISKBINOMIAL function.) If needed, round your answer to a whole percentage and if your answer is zero, enter "0". No pooling: Pooling: 51.4 % 83.8 % b. Now suppose the numbers of people who show up at…