Leah is flying from Moncton to Vancouver with a connection in Montreal. The probability that her first flight leaves on time is 0.20. If the flight in on time, the probability that her luggage will make the connecting flight in Montreal is 0.90, but if the first flight is delayed, the probability that the luggage will make it is only 0.60. (a) What is the probability that Leah's luggage arrives in Vancouver with her? (b) Suppose you pick her up at the Vancouver airport and her luggage is not there. What is the probability that Leah's first flight was delayed?