For this experiment, if cup landings were random in each cup, what is the expected value in each category (expected # of ball landings in each cup)?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Researchers set up an experiment with 4 cups clustered on a ping pong table. They
then set up a robot arm to bounce a ping pong ball towards the cups such that
each toss was consistent across all trials. Their null hypothesis that they were
testing was that whichever cup the ball landed in was random (0.25 probability of
landing in each cup). They performed 40 tosses and got the following data for
number of landings in each cup:
cup 1: 7 landings;
cup 2: 12 landings;
cup 3: 13 landings;
cup 4: 8 landings
For this experiment, if cup landings were random in each cup, what is the expected
value in each category (expected # of ball landings in each cup)?
Transcribed Image Text:Researchers set up an experiment with 4 cups clustered on a ping pong table. They then set up a robot arm to bounce a ping pong ball towards the cups such that each toss was consistent across all trials. Their null hypothesis that they were testing was that whichever cup the ball landed in was random (0.25 probability of landing in each cup). They performed 40 tosses and got the following data for number of landings in each cup: cup 1: 7 landings; cup 2: 12 landings; cup 3: 13 landings; cup 4: 8 landings For this experiment, if cup landings were random in each cup, what is the expected value in each category (expected # of ball landings in each cup)?
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