Q. 2

# 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?

Answer :

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

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PREVIOUSIn a bulb factory, three machines, A, B, C, manufacture 60%, 25% and 15% of the total production respectively. Of their respective outputs, 1%, 2% and 1% are defective. A bulb is drawn at random from the total product, and it is found to be defective. Find the probability that it was manufactured by machine C.NEXTIn a certain college, 4% of boys and 1% of girls are taller than 1.75 meters. Furthermore, 60% of the students are girls. If a student is selected at random and is taller than 1.75 meters, what is the probability that the selected student is a girl?

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