Hey everybody I am having trouble with thisproblem: Assume that the weights of q

Question

Hey everybody I am having trouble with thisproblem:

Assume that the weights of quarters arenormally distributed with a mean of 5.67 g and a standarddeviation 0.070 g.
a) If a vending machine will not only accept coins weighing between5.68 g and 5.82 g, What percentage of legal quarters will berejected?
b) If the quarters having weights in the lowest 0.5% and highest0.5% range are to be rejected, What are the two cutoffweights?

I have the ANSWER a)0.6293     b) The sample means are normallydistributed with mean=16 and a standard deviation=0.12
c) 0.0475

But I need to know how do you get this. Pleaseshow all steps. Will give a Lifesaver. Thanks

Explanation / Answer

a) p(5.68

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