Question: 4. Let VI, Let Yn be independent reandom variables eath with the distribution M (V, 02). 1 V -E Yi and S2 n (a)

4. Let VI, Let Yn be independent reandom variables eath with the distribution M (V, 02). 1 V -E Yi and S2 n (a) What is the distribution of V? (b) Show that S2 L (Yi [L)2 (c) From (b) it follows that [L)2 (d) What is the distribution of (n 1)S2 /a2? (e) What is the distribution of E(Yt - V)2, 1 n 1)S2/a2 + [n (V - {02/02]

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