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This lesson is a part of the course Common Probability Distributions
We know that a discrete uniform random variable is a discrete random variable for which the probability of each outcome is the same. We also know that a random variable is continuous if it can take an infinite number of values between the possible values for the random variable.
Keeping these two characteristics in mind, we can say that a continuous random variable will have a uniform distribution if all the possible values in the given range have a uniform or same probability.