It is well known that productivity tends to be higher during…

It is well known that productivity tends to be higher during earlier hours of the day, which is why in a certain workshop that fills bottles with cleaning solutions, 45% of the daily bottles filled is completed during the morning hours.  Therefore, 55% of the daily bottles filled is completed during the later hours of the day.  Of the bottles filled in the morning, 8% of them are overfilled.  Of the bottles filled in the later part of the day, 5% of them are overfilled. (6 pts) What percentage of the bottles are overfilled? (6 pts) Given a bottle has been overfilled, what is the probability that the bottle was filled in the morning?