SOLUTION: 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 bet

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Question 464976: 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 between 4.97 in. long and 5.03 in. long?
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
z=(4.97-5)/.03=-1
z=(5.03-5)/.03=+1
area under normal curve between -1 and 1 is .683
120*.683=82.0 nails are between 4.97 in. long and 5.03 in. long.
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Ed