11. Let X₁,..., Xn,... iid Beta(1, 3), and let Yn min₁

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11. Let X₁,..., Xn, ... ~iid Beta(1, 3), and let Yn
min₁≤i≤n Xį and Zn
sample minimum and maximum of the first n observations.
(a) Find the value b such that Yn ² b.
(b) Show that Zn 1.
=
=
max₁≤i≤n Xį be the
Transcribed Image Text:11. Let X₁,..., Xn, ... ~iid Beta(1, 3), and let Yn min₁≤i≤n Xį and Zn sample minimum and maximum of the first n observations. (a) Find the value b such that Yn ² b. (b) Show that Zn 1. = = max₁≤i≤n Xį be the
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