(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?
(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?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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