In the setup of an assembly line the system is either correctly or incorrectly adjusted. The probability of a correct adjustment is 0.90. When correctly adjusted, the system operates with a 5% defective rate. However, if incorrectly adjusted, it has a 75% defective rate. Assume that defects occur independently of each other. (1) Complete the tree diagram by filling in the relevant probabilities and conditional probabilites, where C represents the event that the system is correctly adjusted, and D represents the event that the next produced item is defective (2)After the system starts a production run, what is the probability that a defect is observed? (3) Suppose that one item selected by an inspector is found to be defective. What is the probability that the system is incorrectly adjusted?
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.
In the setup of an assembly line the system is either correctly or incorrectly adjusted. The
(1) Complete the tree diagram by filling in the relevant probabilities and conditional probabilites, where C represents the
(2)After the system starts a production run, what is the probability that a defect is observed?
(3) Suppose that one item selected by an inspector is found to be defective. What is the probability that the system is incorrectly adjusted?
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