In a meat packaging plant, Machine A accounts for 60% of the plant's output, while Machine B accounts for 40% of the plant's output. In total, 4% of the packages are improperly sealed. Also, 3% of the packages are from Machine A and are improperly sealed. a. If a package selected at random is improperly sealed, what is the probability that it came from machine A? b. If a package selected at random came from Machine A, what is the probability that it is improperly sealed? c. If a package selected at random came from Machine B, what is the probability that it is properly sealed? d. If a package selected at random came from Machine B, what is the probability that it is improperly sealed?