Q. 165.0( 1 Vote )

# 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.

Answer :

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

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