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find out the population mean using normal distribution.

The actual amount of prompt coffee that a filling machine puts into 4-ounce jars may be observed upon as a random variable having a normal distribution with σ =0.04 ounce.

a). If only 2% of the jars are to contain less than 4 ounces then what is the mean fill of these jars?

b). If the erraticism of the filling machine is reduced to 0.025 ounce verify that this will lower the required average amount of coffee to 4.05 ounces as well as yet keep 98% of the jars above 4 ounces.

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