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After 1964, quarters were manufactured so that their weights have a meanof 4.65g and a standard...

After 1964, quarters were manufactured so that their weights have a meanof 4.65g and a standard deviation of 0.13g. Some vending machines are designed sothat you can adjust the weights of quarters that are accepted. If many counterfeit coinsare found, you can narrow the range of acceptable weights with the effect that mostcounterfeit coins are rejected along with some legitimate quarters.

(a) If you adjust your vending machines to accept weights between 5.50g and 5.80g,what percentage of legal quarters are rejected? Round to 3 decimal places.

(b) If you adjust vending machines to accept all legal quarters except those with weightsin the top 2.5% and the bottom 2.5%, what are the limits of the weights that areaccepted? Round to 2 decimal places.

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