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Question
Doane and Seward (2022) defined a discrete random variable as arising from counting something such as the number of customer arrivals in the next minute. In contrast, a continuous random variable usually arises from measuring something such as the waiting time until the next customer arrives (Doane & Seward, 2022). Another example of the difference between discrete and continuous random variable would be looking at a call center. We can count the amount of phone calls that the service representative receives. This is an example of discrete random variable as we can literally count the amount of incoming calls. Say we wanted to ascertain the average duration of the individual calls. The duration of the calls will vary leaving us to measure the lengths of the calls and not simply counting the calls. This is a clear example of continuous random variable.
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