Among smartphone users, 40% use a case but no screen protector, 10% use a screen protector but no case, 45% use both a case and a screen protector, and 5% use neither a case nor a screen protector. Twenty smartphone users are sampled at random. Let X1, X2, X3, X4 be the respective numbers of users in the four given categories. a) Find P(X1 = 7, X2 = 3, X3 = 8, and X4 = 2). b) Find P(X1 = 7).
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.
Among smartphone users, 40% use a case but no screen protector, 10% use a screen protector but no case, 45% use both a case and a screen protector, and 5% use neither a case nor a screen protector. Twenty smartphone users are sampled at random. Let X1, X2, X3, X4 be the respective numbers of users in the four given categories. a) Find P(X1 = 7, X2 = 3, X3 = 8, and X4 = 2). b) Find P(X1 = 7).
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