64. (This problem assumes knowledge of the basic rulesof baseball.) George Lindsey (1959) looked at boxscores of more than 1000 baseball games and foundthe expected number of runs scored in an inning foreach on-base and out situation to be as listed in the fileP09_64.xlsx. For example, if a team has a man on firstbase with one out, it scores 0.5 run on average untilthe end of the inning. You can assume throughout thisproblem that the team batting wants to maximize theexpected number of runs scored in the inning.a. Use this data to explain why, in most cases,bunting with a man on first base and no outs isa bad decision. In what situation might buntingwith a man on first base and no outs be a gooddecision?b. Assume there is a man on first base with one out.What probability of stealing second makes an attempted steal a good idea?
64. (This problem assumes knowledge of the basic rules
of baseball.) George Lindsey (1959) looked at box
scores of more than 1000 baseball games and found
the expected number of runs scored in an inning for
each on-base and out situation to be as listed in the file
P09_64.xlsx. For example, if a team has a man on first
base with one out, it scores 0.5 run on average until
the end of the inning. You can assume throughout this
problem that the team batting wants to maximize the
expected number of runs scored in the inning.
a. Use this data to explain why, in most cases,
bunting with a man on first base and no outs is
a bad decision. In what situation might bunting
with a man on first base and no outs be a good
decision?
b. Assume there is a man on first base with one out.
What probability of stealing second makes an attempted steal a good idea?
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