A machine produces items one by one and independently. It is considered that 10% of them are defective. If the machine stops when it produces the fourth defective item:a. What is the expected number of items produced until the machine stops?b. What is the probability that the machine will stop at the tenth article produced?c. What is the probability that it produces at least 10 items for the machine to stop?
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.
A machine produces items one by one and independently. It is considered that 10% of them are defective. If the machine stops when it produces the fourth defective item:
a. What is the expected number of items produced until the machine stops?
b. What is the
c. What is the probability that it produces at least 10 items for the machine to stop?
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