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If you separately define the distribution, the forms of subsequent expressions are simplified and you are less likely to lose track of the brackets. dist = TransformedDistribution[x^2, x \[Distributed] ProbabilityDistribution[((2/9))*(x + 2), {x, -2, 1}]]; PDF[dist, y] Plot[ Evaluate[PDF[dist, y]], {y, 0, 4}, Filling -> Axis] mgf[t_] = ...

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