A company buys components from two suppliers. One produces components that are of higher quality than the other. The high-quality supplier, call it Supplier A, has a defect rate of 7%. The lowquality supplier, Supplier B. has a defect rate of 17% but offers lower prices. This company buys in equal volume from both suppliers, with half of the orders going to each supplier. Complete parts (a) and (b) below. (a) What is the probability that a component to be installed is defective? The probability that a component to be installed is defective is (Round to three decimal places as needed.) Patrick is flying from city A to city C with a connection in city B. The probability his first flight arrives on time is 0.25. If the flight is on time, the probability that his luggage will make the connecting flight is 0.9, but if the flight is delayed, the probability that the luggage will make it is only 0.55. In either case, Patrick makes the flight. Complete parts (a) and (b). a. What is the probability that Patrick's luggage is there to meet him in city C? The probability is . (Type an integer or a decimal.)A survey reports that 65% of callers to a help desk complain about the service ifthey think they spoke to a foreign agent, compared to 31% who complain if they think they spoke to a native agent. Suppose that 41% of all calls to service centers are handled by agents in the native country. If a caller complains. what is the probability she was dealing with a foreign agent? The probability the caller spoke to a foreign agent given she complained is (Round to three decimal places as needed.)