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so typically when we calculate uh probabilities using sample data we donamp;#39;t actually use the normal distribution most of the time instead we end up using the student T distribution the student T distribution is very similar to the normal distribution but in that in its symmetric it has basically this bell curve shape but the T distribution differs by the degrees of freedom component which the normal distribution doesnamp;#39;t have um the degrees of freedom if itamp;#39;s very small like one doesnamp;#39;t look very much like the normal distribution at all the tails in particular are much larger you have to go much further away from the mean in order to cut off um the probabilities down to less than letamp;#39;s say one percent as the degrees of freedom grows then the distribution the T distribution is going to look more and more like the normal distribution the Tails will shrink the probability in the center will grow and in this uh in this description you can see that they
