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In a certain production process electrical capacitors have a mean capacity of 40 microFarads and a...

In a certain production process electrical capacitors have a mean capacity of 40 microFarads and a standard deviation of 2 microFarads, what is the probability that a random sample of 36 of these capacitors will have a combined capacity(sum of all capacities) of more than 1458 microFarads? Hint: Recall that X¯ = X1+X2+...+Xn n .

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