Decide whether each of the following random variables is discrete or continuous. Experiment Random Variable Discrete or Continuous? Watch a football game Number of penalties Discrete Grab five M&Ms from a bowl of candies Number of yellow M&Ms you grab Continuous Take your temperature Temperature in degrees Fahrenheit Continuous Watch a baseball player bat 1 if he hits a home run, 0 if he does not

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Answer:

A discrete random variable can take on only whole values while a continuous variable can take on decimal places.

Therefore, the following are categorized into discrete or continuous random variables.

[tex]\left|\begin{array}{c|c|c}$Experiment&$Random Variable&$Discrete or Continuos\\---&---&---\\$Watch a football game&$Number of penalties&$Discrete\\$Take your temperature&$Temperature in degrees Fahrenheit&$Continuous\end{array}\right|[/tex]

[tex]\left|\begin{array}{c|c|c}$Watch a baseball player bat&$1 if he hits a home run, 0 if he does not&$Discrete\\$Grab five MMs from a bowl of candies &$Number of yellow MMs you grab&$Discrete\end{array}\right|[/tex]

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