4. Let Y₁, Y2,..., Yn be a random sample of size 5 from a normal population with mean 0 and variance 1. Also let 1.5 Y = = Σ Y₁. Let Y₁ be another independent observation from the population. Determine the distribution of the 5=1 following: ΣΥ. = ĹY?². i=1 (a) W = 5 (b) U = 2 (Y₁-Y)². i=1 (c) R = √5Y6 √W _ 2 (5Ÿ² + Y²) U (d) V=

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