Mark DeRosa, a Major League Baseball player, was a second baseman for the Chicag

Question

Mark DeRosa, a Major League Baseball player, was a second baseman for the Chicago Cubs in 2007. Consider the experiment of DeRosa making a batting appearance. There are five experimental outcomes: He is out, he advances to first base, he hits a double, he hits a triple, or he hits a home run. Define the random variable x as the number of bases that DeRosa advances on the baseball diamond from his batting appearance. Thus, the values of x are: 0 if he is out = 1 if he advances to first base = 2 if he hits a double - 3 if he hits a triple = 4 if he hits a home run DeRosa's hitting statistics for the regular 2007 baseball season were used to construct the following table: Experimental Outcome Out Advances to first basel Double Triple Home run Number of Occurrences during the 2007 Season2 358 175 28 3 10 f(x) 2 3 4 Includes a single, walk, hit by pitch, and fielder's choice, as well as making it safely on base due to an error. Data source: These data were obtained from the Major League Baseball website, available at www.mlb.com.

Explanation / Answer

F(x0)=358

F(x1)=358+175=533

F(x2)=533+28=561

F(x3)=561+3=564

F(x4)=564+10=574

Total number of occurances during the 2007 season is 574

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