Question: A particular type of printer cartridge is produced by only two companies. Alamo

Electroset produces 65% of the cartridges and South Jersey Litho produces 35%. Eight percent of the cartridges produced by Alamo are defective and 12% of the South Jersey cartridges are defective. A customer purchases a new cartridge.

(a) What is the probability that Alamo produced the cartridge?

(b) The cartridge is tested and it is defective. Now what is the probability that Alamo produced the cartridge?