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Before 2012 NFL football games that were tied at the end of regulation time continued after...

Before 2012 NFL football games that were tied at the end of regulation time continued after a coin toss. The team that won the coin toss could choose to receive the ball or kick the ball. A whopping 98.1% of teams that won the coin toss chose to receive the ball period between 1974 and 2011 there were 460 overtime games that did not end in a tie. Among those 460 games that decided were in overtime 252 were won by the same team that won the overtime toss. Assume that wins and losses are equally likely so bowl teams have the same 0.5 chance of winning the game in overtime.

a. Find the mean and standard deviation for the number of wins in groups of 460 games

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