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A company makes toys that are either working or not working. There is an imperfect test run on the toys.
800 toys are randomly chosen
The toys are tested with the imperfect test, then humanly checked to see if the answer was right.
448 are working and test as working.
60 are not working but test as working.
112 are working but test as not working.
180 are not working and test as not working.
a) What is the probability an item tests as working?
b) What is the probability of the test giving the right answer?
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