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Problem 4 Based on data from the 2010 Major League Baseball season, X = number of home runs the San Francisco Giants hit in a game has the population mean of 1.0 and population standard deviation of 1.0. a) Do you think X has a normal distribution? Why or why not? b) Suppose that this year X has the same distribution. Report the shape, mean, and standard deviation of the sampling distribution of the mean number of home runs the team will hit in its 36 games. c) Based on the answer to part b), find the probability that the sample mean number of home runs per game from 36 games will exceed 1.25