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hey guys its mark from ace tutors and over the course of the next several videos im going to explain some of the most common probability distributions covered in statistics in this video ill go over the uniform distribution so first off a uniform distribution is characterized by having a constant probability within a certain domain but what does this mean well to find out lets take a look at this distribution on a graph where the x-axis represents the different values this certain event can be well the y-axis represents the probability of those events from this graph you can hopefully see how each x-value within the domain of a to b has the exact same y value which implies the same exact probability but what is this constant probability well we already know that if we add up all the probabilities of all the outcomes of a certain event or in other words find the total area under any probability distribution the result must equal 1. since this area is a nice and simple rectangle we