In a manufacturing process, each item leaving an assembly line will be examined by two inspectors: A and B individually. Based on past experiences, Inspector A detects 60% of the defective items. If the defective items are not detected by Inspector A, 90% of them will be detected by Inspector B. However, 60% of the defective items are not detected by Inspector B given that they are detected by Inspector A.
(a)Draw a probability tree
(b)What is the probability that a defective item is detected by at least one of the inspectors?
(c)What is the probability that a defective item is detected by Inspector A, given that it is detected by Inspector B?
em35 i can't solve this questions for an hour
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