According to TMUSS Quarterly (Totally Made-Up Sports Statistics) April 2017, the probability that the Tampa Bay Buccaneers will score a touchdown on their opening drive is 0.27. The probability that their defense will have 3 or more sacks in the game is 0.12. The probability that the Bucs will both score a touchdown on their opening drive and have 3 or more sacks in the game is 0.08. What is the probability that they will either score a touchdown on the opening drive or have 3 or more sacks in the game?
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.
According to TMUSS Quarterly (Totally Made-Up Sports Statistics) April 2017, the
Given data:
The given probability that the Tampa Bay Buccaneers score on their opening is P(X)=0.27.
The given probability that the defendant has three or more sacks is P(Y)=0.12.
The probability that the Tampa Bay Buccaneers score on their opening and the defendant has three or more sacks is P(A∩B)=0.08.
The expression for the probability the Tampa Bay Buccaneers score on their opening or the defendant has three or more sacks is,
Step by step
Solved in 2 steps