Specify which of the following are discrete or continuous ra

Specify which of the following are discrete or continuous random variables:

the amount of snow in the state of Maine for the month of January, 2010.

the number of incoming calls through Verizon during a 12-hour interval

the time required to finish taking an exam.

the number of complete passes in a given football game.

Solution

the amount of snow in the state of Maine for the month of January, 2010.

CONTINUOUS, as it can take any value greater than 0 mm.

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the number of incoming calls through Verizon during a 12-hour interval

DISCRETE, as it can only take nonnegative integer values.

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the time required to finish taking an exam.

CONTINUOUS, as it can take any value greater than 0 s.

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the number of complete passes in a given football game.

DISCRETE, as it can only be a nonnegative integer.