At an electronics store, three types of tablets are sold. Company A's tablet is twice as likely to be sold as Company B's tablet. The sale of Company B's tablets and Company C's tablets are equally likely. Each tablet sale is independent of every other tablet sale. If you monitor the sale of two tablets, what is the likelihood that the two tablets sold are different?
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.
At an electronics store, three types of tablets are sold. Company A's tablet is twice as likely to be sold as Company B's tablet. The sale of Company B's tablets and Company C's tablets are equally likely. Each tablet sale is independent of every other tablet sale. If you monitor the sale of two tablets, what is the likelihood that the two tablets sold are different?
Given,
P(A) = 2 P(B)
P(B) = P(C)
where, P(A) is the likelihood of sale of company's A tablet
P(B) is the likelihood of sale of company's B tablet
P(C) is the likelihood of sale of company's C tablet
Also, each of the sales are independent of each other i.e. they are independent events.
Now, we have to find the probability/likelihood of getting two tablets sold that are of different companies.
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