Bobby is flying from city A to city C with a connection in city B. The probability his first flight arrives on time is 0.15. If the flight is on time, the probability that his luggage will make the connecting flight is 0.8, but if the flight is delayed, the probability that the luggage will make it is only 0.55. In either case, Bobby makes the flight. Complete parts (a) and (b).
a. What is the probability that Bobby's luggage is there to meet him in city C?

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