Posted by **GiNa** on Wednesday, September 29, 2010 at 7:49am.

The weights of individual nails produced by the 'Hammer 'n Nail' hardware company follow a normal distribution with the average nail weight being 5.1 grams and the standard deviation in nail weight being 1.6 grams. When a nail is produced it is discarded if it weighs more than 8.268 grams. Calculate the probability that a randomly selected nail is not discarded. You may find this standard normal table useful. Give your answer as a decimal to 4 decimal places.

Probability =

ive calculated the z score to be 1.98 but i dont know what to do after this. Please help

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**PsyDAG**, Wednesday, September 29, 2010 at 11:20am
Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion related to that Z score. In this case, you are looking for the "area in the larger portion."

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**gInA**, Thursday, September 30, 2010 at 2:51am
but i cant find the proportion for a z-score of 1.98

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**gInA**, Thursday, September 30, 2010 at 2:51am
on the table thingy... do i use 1.90 and 2??

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**PsyDAG**, Thursday, September 30, 2010 at 2:22pm
My "table thingy" has Z scores to two decimal places. If you have a 1.90 value, there should also be a 1.98 value. Use that.

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**gina**, Thursday, September 30, 2010 at 11:58pm
soo ive got the porpotion. Do i have to do anything with that or is that my answer???

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