It is known that 80% of the products on a production line are non-defective. Products are inspected until the first defective is encountered. The first ten trials have been found to be free of defectives. (i) Calculate the probability that the first defective will occur in the 15th trial. (ii) State TWO assumptions used

It is known that 80% of the products on a production line are non-defective. Products are inspected until the first defective is encountered. The first ten trials have been found to be free of defectives. (i) Calculate the probability that the first defective will occur in the 15th trial. (ii) State TWO assumptions used

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Description: It is known that 80% of the products on a production line are non-defective. Products are inspected until the first defective is encountered. The first ten trials have been found to be free of defectives.(i) Calculate the probability that the first d

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Chapter1: Combinatorial Analysis

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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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(i) Calculate the probability that the first defective will occur in the 15th trial.

(ii) State TWO assumptions used

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