In a Shirt factory, there are three processes named A,B, and C.They manufactures 25%, 35%, 40% of production respectively.of these 5%, 4%, 2% are defective.What is the probability the randomly selected shirt is of the defective one produced by process C?Options 2769 2569 1669
Question
In a Shirt factory, there are three processes named A,B, and C.They manufactures 25%, 35%, 40% of production respectively.of these 5%, 4%, 2% are defective.What is the probability the randomly selected shirt is of the defective one produced by process C?Options 2769 2569 1669
Solution
To solve this problem, we need to multiply the probability of selecting a shirt from process C by the probability of that shirt being defective.
Step 1: Identify the probabilities
- The probability of selecting a shirt from process C is 40% or 0.40 (since process C manufactures 40% of the total production).
- The probability of a shirt from process C being defective is 2% or 0.02 (since 2% of the shirts from process C are defective).
Step 2: Multiply the probabilities
- Multiply the probability of selecting a shirt from process C (0.40) by the probability of that shirt being defective (0.02).
0.40 * 0.02 = 0.008
So, the probability that a randomly selected shirt is defective and produced by process C is 0.008 or 0.8%.
However, the options provided (2769, 2569, 1669) do not seem to be in a format that matches this answer. It's possible there may be a misunderstanding or error in the question or the provided options.
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