A supply chain manager ships his final product to 5 different locations to be distributed to final customers. Past statistics show that location A = 30% of shipments, B = 15%, C = 30%, D = 5%, and E = 20%. For each of these locations he is using a different transporter and data show that some products are damaged. Transporter A = 1%, B = 5%, C = 2%, D = 3%, and E = 0.05%.

a. Develop a probability tree showing all marginal, conditional, and joint probabilities.

b. Develop a joint probability table.

c. What is the probability that a product will be defective if sent to location C with transporter C?

( LO,1)