Through the 2012-2013 season lionel messi has scored 215, Ask an Expert

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Through the 2012-2013 season, Lionel Messi has scored 215 goals in 246 games played for Barcelona, for a lifetime 0.86 goals/game ratio. Suppose that Messis true goals per game ratio is in fact 0.86. Assume that Messis goals per game has a standard deviation of 0.76 goals per game.

a) If Messi plays in exactly 250 more games during his career with Barcelona, what is the sampling distribution of his average goals per game?

b) What is the probability that Messi will score at least a goal a game if he plays in exactly 250 more games with Barcelona?

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Category:- Statistics and Probability
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