Mock question
31. A battery manufacturer, who produces 500,000 units per month, inspects 10% of all units produced. Of those inspected it was found that 1% are faulty. Of the batteries which are not inspected there is 5% chance that a unit may be faulty. What is the probability to one decimal place that a faulty battery was actually inspected?
I have got no brains to answer this! How this is even a expected value question? ACCA is trying to mess with my head.
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Expected values
3y ago#1They will inspect 50,000 units and of these 500 will be faulty.
They will not inspect 450,000 units and of these 22,500 will be faulty.
Therefore out of 500,000 units a total of 23,000 will be faulty.
Therefore the probability is 23,000/500,000 = 4.6%
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