Challenge Upheld with Overturned Call Challenge Rejected with No Change Challenges by Men 152 412 Challenges by Women 79 236
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.
Tennis Challenge In a recent U.S. Open tennis tournament, there were 879 challenges made by singles players, and 231 of them resulted in referee calls that were overturned. The accompanying table lists the results by gender.
a. If 1 of the 879 challenges is randomly selected, what is the
b. If one of the overturned calls is randomly selected, what is the probability that the challenge was made by a woman?
c. If two different challenges are randomly selected without replacement, find the probability that they both resulted in an overturned call.
d. If 1 of the 879 challenges is randomly selected, find the probability that it was made by a man or was upheld with an overturned call.
e If one of the challenges is randomly selected, find the probability that it was made by a man, given that the challenge was upheld with an overturned call.
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