In a certain shipment of 16 modems, 3 are defective. 10 of the modems are selected at random without replacement. What is the probability that 2 of the 10 modems are defective?
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 a certain shipment of 16 modems, 3 are defective. 10 of the modems are selected at random without replacement. What is the
Given Information:
In a certain shipment of 16 modems, 3 are defective
P(defective) =
Sample size (n) = 10
To find the probability that 2 of the 10 are defective.
Let X denote the number of defective modems and X follows Binomial distribution with parameters and
Binomial formula:
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