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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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.

  1. Explain why X is a binomial random variable. 
  2. What is the probability of not winning a single game?  
  3. What is the probability of winning 1 or 2 games?

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