In 2008, the Detroit Lions set an NFL record by losing all 16 regular-season games. Suppose that the Lions actually had a 10% chance of winning an individual game in the 2008 season and that each game was independent. Let X represent the number of wins out of 16 regular-season games. Round all answers to three decimal places unless otherwise specified. Explain why X is a binomial random variable. What is the probability of not winning a single game? What is the probability of winning 1 or 2 games?
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.
In 2008, the Detroit Lions set an NFL record by losing all 16 regular-season games. Suppose that the Lions actually had a 10% chance of winning an individual game in the 2008 season and that each game was independent. Let X represent the number of wins out of 16 regular-season games.
Round all answers to three decimal places unless otherwise specified.
- Explain why X is a binomial random variable.
- What is the
probability of not winning a single game? - What is the probability of winning 1 or 2 games?
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