Suppose that Y1,Y2,�,Yn denote a random sample of size n from a norma.pdf

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Suppose that Y1,Y2,,Yn denote a random sample of size n from a normal distribution with mean and variance 1 . Consider the first observation Y1 as an estimator for . a Show that Y1 is an unbiased estimator for . b Find P(Y11). C Look at the basic definition of consistency given in Definition 9.2. Based on the result of part (b), is Y1 a consistent estimator for ?.

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Table 1815 Suppoie that two coal mining companies - Alied and Burelny - own adjacent lasd vuitable for cacmating coal miosi. The profitx that cich firm cama depends on both the mumber of nemst it cucavater and the number of miner exeavated by the other firs. The bble below listr each firm s indinidual profite Alitied Fuckmate one mine Lresvate two misises Refer to Table 18-15. Does Aliiedbine a doavinant itrategyt If wh describe it..

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