Continuous or Not?

Which of the following answers is the continuous random variable?

The minimum outcome from rolling infinitely many dice The number of raindrops in a storm The number of people that show up to class The angle you face after spinning in a circle

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2 solutions

Matt DeCross
Apr 20, 2016

Only the set of angles, contained in [ 0 , 2 π ) [0,2\pi) , form a continuous set. The number of people or raindrops is both finite and discrete; the minimum of even infinitely many dice must be one of six numbers.

No 2 person will stop at the same angle at any given time

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