statistics and probability

5. A fastener company is supplying washers to a manufacturer of kitchen appliances who has specified that the outside diameter be 0.500 ± 0.025 inch. Measurements made on 250 washers show that the process is in good statistical control, the diameters are normally distributed, and the mean and standard deviation for the process are 0.505 and 0.0065 inch, respectively. What percent of the washers made by this process are within the specifications? Sketch the appropriate graph to represent the distribution of the process along with the specifications.

==this is what i have so far P(0.475<X<0.525)=P((0.475-0.505)/0.0065<Z<(0.525-0.505)/0.0065)=P(-4.6154<Z<3.0769)=0.998954-0.0000=0.998952
=== is this correct

1. 👍 0
2. 👎 0
3. 👁 60

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