Question

A car manufacturing factory has two plants X and Y. Plant X manufactures 70% of the cars, and plant Y manufactures 30%. At pant X, 80% of the cars are rated of standard quality, and at plant Y, 90% are rated of standard quality. A car is picked up at random and is found to be of standard quality. A car is picked up at random and is found to be of standard quality. Find the probability that it has come from plant X. Select the correct answer from above options

Answer 1

Let X : Car produced from plant X Y : Car produced from plant Y S : Car rated as standard quality We want to find P(X|S), i.e. selected standard quality car is from plant X Conclusion: Therefore, the probability of selected standard quality car is from plant X is 56 83