During the current quarantine, a certain ISE statistics professor has been playing video games on an Xbox with his 11-year-old son. The dad never wins. However, often during a match the kid goes out of his way to not just beat his dad, but to humiliate him. After several games, the dad collected data on the number of times his son humilates him in a single match: in 43% of the matches, the son humilates the dad 4 times; 24% of the time, the dad is humilated 3 times; 18% of the time, he is humilated twice; 15% of the time he is humilated only once; and there are no matches in which the dad was not humilated by the son. Compute the variance of the number of times the dad is humilated by his son. (four decimal places)
During the current quarantine, a certain ISE statistics professor has been playing video games on an Xbox with his 11-year-old son. The dad never wins. However, often during a match the kid goes out of his way to not just beat his dad, but to humiliate him.
After several games, the dad collected data on the number of times his son humilates him in a single match: in 43% of the matches, the son humilates the dad 4 times; 24% of the time, the dad is humilated 3 times; 18% of the time, he is humilated twice; 15% of the time he is humilated only once; and there are no matches in which the dad was not humilated by the son.
Compute the variance of the number of times the dad is humilated by his son. (four decimal places)
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