The table below summarizes challenges by professional tennis players from the first U. S. Open that used the Hawk-Eye electronic system for displaying an instant replay used to determine whether the ball is in bounds or out of bounds. Was the challenge successful? Yes No Male 201 288 Female 126 224 Answer the following questions? (Express your answer as fractions, or as decimals rounded to 4 decimal places) a) What is the probability that a challenge was successful? b) What is the probability that a challenge was made by a female? c) What is the probability that a challenge was made by a male or was not successful?
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.
The table below summarizes challenges by professional tennis players from the first U. S. Open that used the Hawk-Eye electronic system for displaying an instant replay used to determine whether the ball is in bounds or out of bounds.
| Was the | challenge successful? | |
| Yes | No | |
| Male | 201 | 288 |
| Female | 126 | 224 |
Answer the following questions? (Express your answer as fractions, or as decimals rounded to 4 decimal places)
a) What is the probability that a challenge was successful?
b) What is the probability that a challenge was made by a female?
c) What is the probability that a challenge was made by a male or was not successful?
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