Question

A company has four production sections viz., S1, S2, S3 and S4 which contribute 30%, 20%, 28% and 22% of the total output. It was observed that those sections respectively produced 1%, 2%, 3% and 4% defective units. If a unit is selected at random and found to be defective, what is the probability that the unit so selected has come from either S1 or S4.

Answer 1

Answer pls

Answer 2

ariyilla

Answer 3

Hint: We know

P(S1)=0.30, P(S2)=0.20, P(S3)=0.28, P(S4)=0.22. If D is the defect case than we know also P(D|S1)=0.01, P(D|S2)=0.02, P(D|S3)=0.03,and P(D|S4)=0.04.

Now, the question is asking you to determine P(S1|D)+P(S4|D). Can you determine these probabilities with the Bayes' theorem?

Answer 4

0.59

Answer 5

0.49