A machine has 35 identical components which function independently. The probability that a component will fail is 0.108. The machine will stop working if more than three components fail. Does this scenario meet the criteria of a binomial probability distribution? Justify your answer by verifying each of the four conditions. Find the probability that the machine will be working at a randomly selected time. Provide the TI commands and an explanation of your answer.
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 has 35 identical components which
- Does this scenario meet the criteria of a binomial probability distribution? Justify your answer by verifying each of the four conditions.
- Find the probability that the machine will be working at a randomly selected time. Provide the TI commands and an explanation of your answer.
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