Question: 4. Let Yb . . . , K1 be independent reandoni variables eath with the distribution N01, 02). Let 1 n 20/; _ 17?: 1t:1

4. Let Yb . . . , K1 be independent reandoni variables eath with the distribution N01, 02). Let 1 n 20/; _ 17?: \"1t:1 )7: SK- and S2 = J (a What is the distribution of 17? (b Show that 32 = [21.1102 p)? 7107 m2]. ) ) (t) From (b) it follows that 23:101- twat? = (n 1)s2/a2 + [7207' \")2/02]. ) ) l n (d What is the distribution of (n 1)S2 /a2? (e What is the distribution of 373%

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