Answer:
Michael
Step-by-step explanation:
Look at the table below:
The probability of selecting a sale that was made by Quentin is .30, by Michael is .45 and by Bubba is .25.
Since Quentin completes paperwork 90% of the time, he doesn't complete paperwork 10% of the time, following this reasoning we can say that Michael doesn't complete paperwork 20% of the time and Bubba doesn't complete paperwork 15% of the time.
The probability of selecting a file and that it belongs to Quentin AND is incomplete is:
(Probability of selecting a Quentin's file) x (Probability is a Quentin incomplete file) = (0.30)(0.10) = 0.03
Using this same method we have that the probability that it belongs to Michael and is incomplete is (.45)(.20) = 0.09
That it belongs to Bubba and it's incomplete is (0.25)(0.15) = 0.037
The highest of these probabilities is the one that corresponds to Michael: 0.09, therefore he is the most likely culprit.
