1. Suppose that X,,,X, and Y,.,Y, are random samples from an independent N(2,5) and N(2,30), respectively. Let X and Y denote the sample means and s? denotes the sample variance. (a) Compute P(X >Ỹ+2). (X-2 (b) Find a constant k such that P S =0.95. (c) Find a constant / such that P(Sx >1)=0.90.

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