(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

(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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Description: (b) Items are inspected for flaws by two quality inspectors. If a flaw is present, it will be detected bythe first inspector with probability 0.8, and by the second inspector with probability 0.6. Assumethe inspectors function independently.(i) . If

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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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Question

(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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