Defective irrespective of the shift

  Records show that for every 100 items produced in a factory during the day shift, two are defective, and for every 100 produced during the night shift, four are defective. If during the 24-hour period, 2000 items are produced during the day and 800 during the night, what is the probability that an item picked at random from the 2’800 produced during the 24-hour period; a). Was produced on the day shift and was defective? b). Was produced on the Night shift and was defective? c). Is defective irrespective of the shift? d). If a selected item is defective, what is the probability that it came from the day shift? e). If a selected item is defective, what is the probability that it came from the night shift?