There is an exact number of miles for a given route on a trip. However, the measurement of the distance from the odometer some small and possibly random errors, so the measured distances could be considered a continuous random variable.
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A random variable such as the number of keys on each student's key chain is discrete because you can list the possible values it can assume. If it was continuous one would not be list a continuous random variable because it would be impossible. The keys on the key chains would be discrete.
Discrete random variable
No. The probability that a continuous random variable takes a specific value is always zero.
it is a continuous random variable
Yes.