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StatisticsQ&A LibraryIn 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?Start your trial now! First week only $4.99!*arrow_forward*

Question

- 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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