A component may come from any one of three manufacturers with probabilities p1=0.25, p2=0.50, and p3=0.25. The probabilities that the components will function properly are a function of the manufacturer and are 0.1, 0.2, and 0.4 for the first, second, and third manufacturer, respectively. a. Compute the probability that a randomly chosen component will function properly. b. Compute the probability that three components in series randomly selected will function properly
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 component may come from any one of three manufacturers with probabilities p1=0.25, p2=0.50, and p3=0.25. The probabilities that the components will
a. Compute the
b. Compute the probability that three components in series randomly selected will function properly
Given that:
Probabilities of coming from the 3 manufacturers are respectively:
Probabilities that the components coming from manufacturers function properly are:
a) Therefore, the probability that a randomly chosen component will function properly is:
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