Fifty-five percent of consumers prefer to purchase electronics online. You randomly select 8 consumers. Find the probability that the number of consumers who prefer to purchase electronics online is (a) exactly five, (b) more than five, and (c) at most five.
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.
percent of consumers prefer to purchase electronics online. You randomly select
consumers. Find the probability that the number of consumers who prefer to purchase electronics online is (a) exactly five, (b) more than five, and (c) at most five.
- Binomial Distribution :
The binomial distribution is a discrete probability distribution with two parameters, n and p. It is a generalization of the Bernoulli distribution. The probability mass function of the binomial distribution is used to get the required probabilities.
The binomial probability formula with the binomial coefficient is :
where n is the number of trials, p is the probability of success on a single trial, and X is the number of successes.
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