A tennis shop sells five different brands of rackets, each of which comes in either a midsize version or an oversize version. Consider the chance experiment in which brand and size are noted for the next racket purchased. One possible outcome is Head midsize, and another is Prince oversize. Possible outcomes correspond to cells in the table shown below. Head Prince Slazenger Wimbledon Wilson Midsize Oversize (a) Let A denote the event that a midsize racket is purchased. List the outcomes in A. O {(Head, Oversize), (Prince, Oversize), (Slazenger, Oversize), (Wimbledon, Oversize), (Wilson, Oversize)} O {Oversize, Midsize} O {(Oversize, racket), (Midsize, racket)} O {Midsize, racket) O {(Head, Midsize), (Prince, Midsize), (Slazenger, Midsize), (Wimbledon, Midsize), (Wilson, Midsize)} (b) Let B denote the event that the name of the brand purchased begins with a W. List the outcomes in B. O {(Wimbledon, Midsize), (Wilson, Midsize), (Wimbledon, Oversize), (Wilson, Oversize)} O {(Wimbledon, Wilson), (Midsize, Oversize)} O {Wimbledon, Wilson} O {Midsize, Oversize) O {Wimbledon, Wilson, Midsize, Oversize} (c) List the outcomes in the event not B. O (Head, Prince, Slazenger, Midsize, Oversize} O (Head, Prince, Slazenger} O {(Wimbledon, Midsize), (Wilson, Midsize), (Wimbledon, Oversize), (Wilson, Oversize)} O {Midsize, Oversize} O {(Head, Midsize), (Prince, Midsize), (Slazenger, Midsize), (Head, Oversize), (Prince, Oversize), (Slazenger, Oversize)}

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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.