Computing & AI · the experiment
Draw the tall batter's zone
You are setting up the KBO's machine. Make a batter grow in front of it, watch his box rise, then count what the new shape really costs.
1 · Raise the box
The machine judges every pitch without looking at a single one: it applies a formula.
Beginner
What does the machine use to draw a batter's strike box?
A pitch crosses the middle of the plate, the centre of the ball 110 cm above the ground. Set the batter's height to the smallest value for which the machine calls a strike.
2 · Count the high strikes
Relative to human umpires, each centimetre of height adds 0.75 points to the share of a batter's high pitches called strikes.
Intermediate
Two batters, one 172 cm tall, the other 192 cm. By how many points does the share of high pitches called strikes rise from one to the other?
3 · Price the matchup
The matchup most exposed to the new shape, left-handed pitcher against left-handed batter, receives 0.043 extra strikes per plate appearance. One strike costs the batting team 0.135 runs.
Expert
Over 1,000 plate appearances of this matchup, how many runs does the new shape cost the batters?
4 · Redraw the rule
The league asks you for a machine that favours neither tall nor short batters compared with the umpires of before.
Expert
Which rule achieves that?
Zone drawn
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