Automated manufacturing operations are quite precise but still vary, often with distributions that are close to...

Automated manufacturing operations are quite precise but still vary, often with distributions that are close to Normal. The width in inches of slots cut by a milling machine follows approximately the N(0.8750,0.0014)

distribution. The specifications allow slot widths between 0.8725 and 0.8775 inch.

What proportion (±

0.001) of slots meet these specifications (use software)?

Solutions

Expert Solution

Since the distribution is normal with mean=0.8750 and standard deviation= 0.0014 so we use Z score for proportion calculation hence Z at 0.8725

and Z at 0.8775

Hence P(0.8725<X<0.8775) =P(-1.79<Z<1.79) is calculated using Z table shown below as

=0.9633- 0.0367

=0.8963

orchestra answered 1 year ago

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