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A certain item is manufactured at two plants 1 and 2.Plant 1 make 70% of the requirement and plant 2 makes 30%.From plant 1, 90% meet a particular standard and plant 2 only 80% meet such standard. Evaluate. a)Out of every 100 items purchased by a customer,how many will be up to the standard? b)Given that an item is standard,what is the probability that it was made in plant 2?

A certain item is manufactured at two plants 1 and 2.Plant 1 make 70% of the requirement and plant 2 makes 30%.From plant 1, 90% meet a particular standard and plant 2 only 80% meet such standard. Evaluate.
a)Out of every 100 items purchased by a customer,how many will be up to the standard?
b)Given that an item is standard,what is the probability that it was made in plant 2?

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1 Answers

Yash Baheti IIT Roorkee
askIITians Faculty 97 Points
9 years ago
Hi,

Part a : 70 produced from plant one and 30 produced from plant 2.
[70 * 0.9] + [30 * 0.8] = 87

Part 2 : Total standard product = 87
standard product from plant 2 = 24

Probability : 24/87

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