The Chocolate House specializes in hand-dipped chocolates for special occasions. Three employees do all of the product packaging's. Clerk 1 packs 41% of the chocolate boxes, Clerk 2 packs 31% of the chocolate boxes, and Clerk 3 packs 28% of the chocolate boxes. Sometimes defective chocolates are packaged in the boxes. If Clerk 1 does the packing, the defective box rate is 2%. If Clerk 2 does the packing, the defective box rate is 2.5%. If Clerk 3 does the packing, the defective box rate is 1.5%.

Use a probability tree to answer the following questions:

(Round all intermediate and final calculations to four decimals)

a) What's a probability that a randomly selected box of chocolates was packed by Clerk 2 and does not contain any defective chocolate?

b) What is the probability that a randomly selected box contains defective chocolate?

c) Suppose a randomly selected box of chocolates is defective. What is the probability that it was packaged by Clerk 3?

Answer rating: 100% (QA)

Solution a PPacked by clerk 2 and does not cont... View the full answer