9. A box contains 15 non-defective items and 3 defective items, take two items one after...

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9. A box contains 15 non-defective items and 3 defective items, take two items one after the other without replacement, Find the probability that the first item is defect given that the second one is non - defective. 10- Let P(A) = 0.45, P(B) = 0.25 & P(C) = 0.3, A& B&C are mutual disjoint and if P(AND) = 0.2, P(D|B) = 0.3 & P(D|C) = 0.1 find P(D| A), P(D) & P(C| D). 11- Let A and B be independent events with prob. 5% and 20% respectively. For P(D|A or B) = 0.7 and P(D|neither A nor B) = 0.3 , find P(A or B| D).. 12- At a machine center there are four automatic screw machines with the following data Percent production Percent defective given machine Machine number 1 15% 4% 2 30% 3% 3 20% 5% 4 35% 2% If a screw is picked and found to be defective, what is the prob. that it was produced by machine 3. 13- Let A and B be independent events with P(A)= 0.4 & P(B)= 0.6. If P(D|only A) = 0.6 P(D|only B)= 0.4 P(D|A and B)=0.7, and P(D|neitherA nor B) = 0.1. Find P(D). 9. A box contains 15 non-defective items and 3 defective items, take two items one after the other without replacement, Find the probability that the first item is defect given that the second one is non - defective. 10- Let P(A) = 0.45, P(B) = 0.25 & P(C) = 0.3, A& B&C are mutual disjoint and if P(AND) = 0.2, P(D|B) = 0.3 & P(D|C) = 0.1 find P(D| A), P(D) & P(C| D). 11- Let A and B be independent events with prob. 5% and 20% respectively. For P(D|A or B) = 0.7 and P(D|neither A nor B) = 0.3 , find P(A or B| D).. 12- At a machine center there are four automatic screw machines with the following data Percent production Percent defective given machine Machine number 1 15% 4% 2 30% 3% 3 20% 5% 4 35% 2% If a screw is picked and found to be defective, what is the prob. that it was produced by machine 3. 13- Let A and B be independent events with P(A)= 0.4 & P(B)= 0.6. If P(D|only A) = 0.6 P(D|only B)= 0.4 P(D|A and B)=0.7, and P(D|neitherA nor B) = 0.1. Find P(D).

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9 A First item is defective B First item is nondefective N the second item is nondefective PA318 PB1... View the full answer