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# (c) Let X,xz" Xkbeii.d. Exp(1) , and let Mk max( X, Xc) (Maximu o Xh_X)_ Fiud the prohability deusity function of Mk:(Hint: P(min(Xh,Xz,Xs) > k) = P(Xi >...

## Question

###### (c) Let X,xz" Xkbeii.d. Exp(1) , and let Mk max( X, Xc) (Maximu o Xh_X)_ Fiud the prohability deusity function of Mk:(Hint: P(min(Xh,Xz,Xs) > k) = P(Xi > k,x >k,X > k), how ahout max ?)(d) Show that k-0,the CDF o Z = Mk ln(k) is the CDF of Y.Hint: Note that as k _0, (1+#* = e"

(c) Let X,xz" Xkbeii.d. Exp(1) , and let Mk max( X, Xc) (Maximu o Xh_X)_ Fiud the prohability deusity function of Mk:(Hint: P(min(Xh,Xz,Xs) > k) = P(Xi > k,x >k,X > k), how ahout max ?) (d) Show that k-0,the CDF o Z = Mk ln(k) is the CDF of Y. Hint: Note that as k _0, (1+#* = e"

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