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Method of transformations derive the weibull pdf

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Reference no: EM132643337

If X is an exponentially distributed random variable with parameter β ≥ 0, X ∼ exp(β), then the transformed variable Y = X^1/γ with γ ≥ 0 has a Weibull distribution with parameters (β, γ). Using the method of transformations derive the Weibull pdf. (hint: X has pdf fX(x) = 1/β exp (-x/β) for any 0 ≤ x < ∞)

Reference no: EM132643337

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