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A Poisson model for “hitting for the cycle” in Major League Baseball. (English)
J. Recreat. Math. 35(2006), No. 2, 112-116 (2009).
Summary: In a recent article in this journal, Campbell et al. showed that the Poisson probability distribution provides an excellent fit to the data on no-hit games in Major League Baseball, especially during the period 1920-1959. Hitting for the cycle (that is, when a batter hits a single, double, triple, and home run in the same game) is another rare event in Major League Baseball. And, here too, the Poisson probability distribution given by $p(X=x)=\frac{e^{-μ}μ^x}{x!}$ , $x=0,1,2,\dots$ where x denotes the number of ballplayers who “hit for the cycle” in a given season provides a remarkably good fit.
Classification: K60 A20 M90