The ECCO company makes backup alarms for machinery like forklifts and commercial trucks. When a customer returns one of the alarms under warranty, the quality manager logs data on the product. From the data available in the file named Ecco, use relative frequency to find the following probabilities.
a. What is the probability the product was made at the Salt Lake City plant?
b. What is the probability the reason for the return was a wiring problem?
c. What is the joint probability the returned item was from the Salt Lake City plant and had a wiring-related problem?
d. What is the probability that a returned item was made on the day shift at the Salt Lake plant and had a cracked lens problem?
e. If an item was returned, what is the most likely profile for the item, including plant location, shift, and cause of problem?