Question

Your telephone operators receive many different types of calls. Requests for information account for 90% of all calls, while 43% of calls result in an actual order. Also, 33% of calls involve both information requests and order placement.

1. Are the two events “requested information” and “generated an order” independent? Explain your reasoning mathematically (show equations and answers) or conceptually.
2. What is the conditional probability that a call generated an order, given that it requested information?
3. What is the conditional probability that a call did not request information, given that it generated an order (it may help you to utilize a table with the four outcomes)?

Answer 1