Statistics help please :)

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rodeopinky

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A machine that cuts corks for wine bottles operates in such a way that the distribution of the diameter of the corks produced is well approximated by a normal distribution with mean 2 cm and standard deviation 0.1 cm. The specifications call for corks with diameters between 1.9 and 2.1 cm. A cork not meeting the specifications is considered defective. (A cork that is too small leaks and causes the wine to deteriorate; a cork that is too large doesn't fit in the bottle.) What proportion of corks produced by this machine are defective? (Round the answer to four decimal places.)
 
rodeopinky said:
...the distribution of the diameter of the corks produced is well approximated by a normal distribution with mean 2 cm and standard deviation 0.1 cm. The specifications call for corks with diameters between 1.9 and 2.1 cm. A cork not meeting the specifications is considered defective.... What proportion of corks produced by this machine are defective?
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This question is asking you for the proportion of corks which are NOT within one standard deviation of the mean. What did your book and class give you as the proportions (or percentages) related to deviations? Subtract the percentage for "within one deviation" from 100% to get the percentage more than one deviation from the mean. ;)
 
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