Proablity question

LilMama19

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Joined
Sep 22, 2009
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7
Assume that the weights of quarters are normally distributed with a mean of 5.67g and a standard deviation 0.070g. A vending machine will only accept coins weighing between 5.48g and 5.82g. What percentage of legal quarters will be rejected?

I know the -x is 5.67 mean
s is 0.070g
and x is between 5.48g and 5.82g

and formula is z= x-mean divided by s or x-u divided by 0

5.82-5.67 divided by 0.070g= 2.142


but the answer is supposed to be 1.96% need help on what I am not doing right
 
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