Question: Consider a system with stochastic variable, X, which has probability density, Px (x), given by the circular distribution; Px(x) = 1-2 for x1, and Px(x)

Consider a system with stochastic variable, X, which has probability density, Px (x), given by the circular distribution; Px(x) = 1-2 for x1, and Px(x) = 0 for |x| > 1. Find the characteristic function and use it to find the first four moments and the first four cumulants.

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