The number of nails of a given length is normally distributed with a mean length of 5 in. and a standard deviation of 0.03 in. In a bag containing 120 nails, how many nails are more than 5.03 in. long?

a.about 38 nails
b.about 41 nails
c.about 16 nails
d.about 19 nails

Question

The number of nails of a given length is normally distributed with a mean length of 5 in. and a standard deviation of 0.03 in. In a bag containing 120 nails, how many nails are more than 5.03 in. long?
 	
	a.about 38 nails
	b.about 41 nails
	c.about 16 nails
	d.about 19 nails

amistre64 · Answer

this is where that empirical rule would be useful

amistre64 · Answer

5.03 is 1 standard deviation from the mean of 5.00

68% of the data is within that range|dw:1373640034543:dw|