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A company has two plants to manufacture bicycles. The first plant manufactures 60% of bicycles and the second 40%. Also 80% of the bicycles are rated of standard qaulity at the first plant and 90% of the standard qaulity at the second plant. A bicycle is picked up at random and found to be of standard quality. Find the probability that it is produced from first plant.

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AI Generated Solution

To solve the problem, we will use Bayes' theorem. Let's break down the solution step by step. ### Step 1: Define Events Let: - \( E_1 \): Event that a bicycle is produced by the first plant. - \( E_2 \): Event that a bicycle is produced by the second plant. - \( E \): Event that a bicycle is of standard quality. ...
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