The Poisson distribution can be skewed either left or right, depending on λ.

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The Poisson distribution is a discrete probability distribution often used to model the number of occurrences of rare events in a fixed amount of time or space. The shape of the distribution is determined solely by its parameter λ, also known as the mean or expected value of the distribution. The Poisson distribution is always right-skewed, meaning there is a long tail in the positive direction. It cannot be left-skewed.

The Poisson Distribution Can Be Skewed Either Left or Right