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Question: How are discrete random variables different than random variables?
Actually, a discrete random variable is a type of random variable. Random variables are divided into two types: discrete and continuous. A discrete random variable is one which may take on only a countable number of distinct values such as 0,1,2,3,4, etc. These values don't have to be sequential, but they must be countable. Examples could include the number of heads you get when you flip a coin several times, or the number of aces you pull from a deck of cards. On the other hand, a continuous random variable is one which takes an infinite number of possible values. Continuous random variables are usually measurements. Examples include height, weight, how much time, etc. To sum up, both types are random variables, but discrete random variables take on distinct or separate values, while continuous random variables can essentially take on any value within a defined range.
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