Let X 1 , ...,X n have Weibulls distributions Q c1 , ...,Qc n , respectively. Show

Let X₁, ...,X_n have Weibull’s distributions Q_c1α, ...,Qc_nα, respectively. Show that the min{X₁, ...,X_n} has the distributionQcα with c = c₁+...+c_n. That is, the Weibull distribution is stable with respect to minimization. Connect this fact with the result of Proposition 5.