(b) Let {X,}"_1 be i.i.d. uniform random variables in [0, 0), for some 0 > 0. Denote by Mn = max;=1,2,....n Xi. • Find an interval I of the form I = [Mn, Mn + c], that doesn't depend on 0 and such...

0. Denote by Mn = max;=1,2,....n Xi. • Find an interval I of the form I = [Mn, Mn + c], that doesn't depend on 0 and such that %3D P (0 € I) → 0.95 as n → 0 "/>
Extracted text: (b) Let {X,}"_1 be i.i.d. uniform random variables in [0, 0), for some 0 > 0. Denote by Mn = max;=1,2,....n Xi. • Find an interval I of the form I = [Mn, Mn + c], that doesn't depend on 0 and such that %3D P (0 € I) → 0.95 as n → 0