Question 1159630: Assume that the OUHK mail-order box employs three clerks, A, B and C, who pull items from shelves and assemble them for subsequent verification and packaging. Clerk A makes a mistake in 1% of his order (gets a wrong item or the wrong quantity), clerk B makes 5% mistakes, and clerk C makes 3% mistakes. If the person A, B and C fill 30%, 40% and 30% of all orders respectively, what are the probabilities that:
(a) a mistake will be made in an order.
(b) if a mistake is made in an order, the order was filled by the clerk A.
(c) if an order is not filled by the clerk A, a mistake is made in that order
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website!
=====ok=======wrong====total
A-----297----------3---------300
B-----380---------20---------400
C-----291----------9---------300
Tot---968---------32--------1000
a. 3.2% probability of a mistake
b. 3/32 or 9.375% it is due to A.
c. B and C have 29 mistakes in 671 orders or 4.32%
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