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A farmer has 9 wheat fields planted the distribution of

A farmer has 9 wheat fields planted. The distribution of yield from each field has a mean of 1000 bushels and variance 20,000. Further-more, the yields of any 2 fields are correlated, because they share the same weather conditions, weed control, etc; in fact the covariance is 10,000. Letting S denote the total yield from all 9 fields, find

(a) The mean and variance of S.

(b) Pr (S < 8,000),="" assuming="" s="" is="">

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Basic Statistics: A farmer has 9 wheat fields planted the distribution of

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