SOLUTION: The length x of the nails in a large shipment received by a carpenter are approximately normal with a mean of 2 inches and a standard deviation of .1 inches. 1) If a nail is rando

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Question 472133: The length x of the nails in a large shipment received by a carpenter are approximately normal with a mean of 2 inches and a standard deviation of .1 inches.
1) If a nail is randomly selected, find P (1.8 < x< 2.07)
2) The carpenter cannot use a nail shorter than 1.75 inches or longer than 2.25 inches. What percentage of the shipment of nails will the carpenter be able to use?

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
1)z=(1.8-2.0)/.1=-.2/.1=-2
z=(2.07-2.0)/.1=.07/.1=.7
The area under the normal curve between -2 and .7 is 0.735
.
Ed