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One piece of information collected from each member of the Football Hall of Fame is the total number of football games played in at the

One piece of information collected from each member of the Football Hall of Fame is the total number of football games played in at the time of being inducted into the Hall of Fame. It turns out that the number of games played in by all Hall of Fame members forms an approximately Normal distribution, with a mean of 165 games and a standard deviation of 53 games. Use this information to answer the following questions (and be sure to show all work!).

  1. Former Buckeye and Hall of Fame member Bill Willis played in 99 games.What percentage of Hall of Fame members played in fewer games than Bill?

  1. Former Buckeye and Hall of Fame member Lou Groza played in 268 games.What percentage of Hall of Fame members played in more games than Lou?

  1. A player who has played in approximately ________ games would be at the 90th percentile.

  1. A player who has played in approximately ________ games would be at the 3rd percentile.

  1. What percentage of Hall of Fame members played in between 150 and 250 games?

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