Question

After arrival of an order to the shop, it is grouped into one of three possible categories( urgent, fast, or ordinary). Typically, 10% of the orders were classified as urgent; 30% were categorized as fast; the rest of the orders were categorized as ordinary. It is also known that 40% of the "urgent" orders were mishandled; 10% of the "fast" orders were mishandled; and 1% of the "ordinary" orders were mishandled.  What is the probability that a random order is mishandled? Find the probability that an order that was mishandled, was categorized as "fast" after arrival.

Answer 1

TOPIC:Application of the theorem of total probability and the Bayes' theorem.