This is my favourite webpage for your kind of question
http://davidmlane.com/hyperstat/z_table.html
Just enter the mean, the SD and enter the values for the "between" option
A tractor manufacturing company machines axles to extremely small tolerances. The main power axles have a mean diameter of 3.0000 inches and a standard deviation of 0.0050 inch. What is the probability that a given axle will have a diameter between 2.9915 and 3.0004 inches? Assume that errors are normally distributed.
2 answers
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