SOLUTION: The number of nails of a given length is normally distributed with a mean length of 5.00 in. and a standard deviation of 0.03 in. Find the number of nails in a bag of 120 that are

Question 1140703: The number of nails of a given length is normally distributed with a mean length of 5.00 in. and a standard deviation of 0.03 in. Find the number of nails in a bag of 120 that are between 4.97 and 5.03 in. long.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
z=(x-mean)/sd
=(4.97-5.00)/0.03=-1
z=+1 for the other side
want the probability of z between -1 and 1, and that is 0.6827.
120*that product is 81.92 or 82 rounded up. That is the answer.

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