Prove that the Weibull distribution (alpha) is given by (alpha=frac{left(sigma_{m}^{o}ight)^{b}}{ln (2)}), where (sigma_{m}^{o}) is the median value

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Prove that the Weibull distribution \(\alpha\) is given by \(\alpha=\frac{\left(\sigma_{m}^{o}ight)^{b}}{\ln (2)}\), where \(\sigma_{m}^{o}\) is the median value for \(\sigma^{o}\).

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