Question

Five workers are supposed to paste expiration date on each can.A,who paste 30% of the cans,fail to paste the expiration date once in every 300cans.B,who paste 15%,fail to paste the expiration date once in every 250cans.C,who paste 35% ,fail to paste the expiration date once in every 100 cans.D,who paste 7%,fail to paste the expiration date once in every 150cans and E,who paste 13%,fail to paste the expitation date once in every 200cans.If a quality control inspector finds a can without an expiration date,what is the probability that C fail to paste it?

Answer 1

since A pasted 30% of the cans,he failed to paste 70% of the cans.that is (70%)300.B pasted 15% and failed to paste 85% of the cans.that is (85%)250.C pasted 35% and failed to paste (65%)100.D pasted 7% and failed to paste (93%)150.E pasted 13% and failed to paste (87%)200.so if a quality control inspector finds a can without an expiration date,the probability that C failed to paste is (65%)100/(70%)300+(85%)250+(65%)100+(93%)150+(87%)200.

Answer 2

the answer is 0.5636