(b) Items are inspected for flaws by two quality inspectors. If a flaw is present, it will be detected by the first inspector with probability 0.8, and by the second inspector with probability 0.6. Assume the inspectors function independently. (i) . If an item has a flaw, what is the probability that it will be found by both inspectors? (ii). If an item has a flaw, what is the probability that it will be found by at least one of the two inspectors? (ii). Assume that the second inspector examines only those items that have been passed by the first inspector. If an item has a flaw, what is the probability that the second inspector will find it? (iy) If an item has a flaw what is the probability that first inspector will not find it or the second

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(b) Items are inspected for flaws by two quality inspectors. If a flaw is present, it will be detected by
the first inspector with probability 0.8, and by the second inspector with probability 0.6. Assume
the inspectors function independently.
(i) . If an item has a flaw, what is the probability that it will be found by both inspectors?
(ii). If an item has a flaw, what is the probability that it will be found by at least one of the two
inspectors?
(iii). Assume that the second inspector examines only those items that have been passed by the
first inspector. If an item has a flaw, what is the probability that the second inspector will find it?
(iv) If an item has a flaw, what is the probability that first inspector will not find it or the second
inspector will not find it?
Transcribed Image Text:(b) Items are inspected for flaws by two quality inspectors. If a flaw is present, it will be detected by the first inspector with probability 0.8, and by the second inspector with probability 0.6. Assume the inspectors function independently. (i) . If an item has a flaw, what is the probability that it will be found by both inspectors? (ii). If an item has a flaw, what is the probability that it will be found by at least one of the two inspectors? (iii). Assume that the second inspector examines only those items that have been passed by the first inspector. If an item has a flaw, what is the probability that the second inspector will find it? (iv) If an item has a flaw, what is the probability that first inspector will not find it or the second inspector will not find it?
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