A company manufactures scooters at two plants, A and B. plant A produces 80% and plant B produces 20% of the total product. 85% of the scooters produced at pant A and 65% of the scooters produced at plant B are of standard quality. A scooter produced by the company is selected at random, and it is found to be of standard quality. What is the probability that it was manufactured at
plant A?
Let S : Standard quality
We want to find P(A|S), i.e. probability that selected standard scooter is from
plant A
Where, P(A) = probability that scooter is from A
P(B) = probability that scooter is from B
P(S|A) = probability that standard scooter from A
P(S|B) = probability that standard scooter from B
Conclusion: Therefore, the probability of selected standard scooter is from plant A is