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- [Instructor] Lets say that we have a random variable x. Maybe it represents the height of a randomly selected person walking out of the mall or something like that and right over here, we have its probability distribution and Ive drawn it as a bell curve as a normal distribution right over here but it could have many other distributions but for the visualization sake, its a normal one in this example and Ive also drawn the mean of this distribution right over here and Ive also drawn one standard deviation above the mean and one standard deviation below the mean. What were going to do in this video is think about how does this distribution and in particular, how does the mean and the standard deviation get affected if we were to add to this random variable or if we were to scale this random variable? So lets first think about what would happen if we have another random variable which is equal to lets call this random variable y which is equal to whatever the random variable x