two shipping services offer overnight deliver of parcels and both promise delivery before 10am. A mail order catalog company ships 30% of its overnight packages using service 1 and 70% using service 2. SErvice 1 fails to meet the 10am delivery promise 10% of the time, whereas service 2 fails to deliver by 10am 8% of the time. Suppose that you made a purchase from this company and were expecting your package by 10am, but it is late. Find the probability that the parcel was mailed by service 1.

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