Given
μ=0.105
σ=0.008
Specs: [0.085≤x≤0.125]
Need to know probabilities of exceeding specs.
First lower limit:
P[x<0.085]
=Z((0.085-μ)/σ)
=Z((0.085-0.105)/0.008)
=Z(-2.5)
=0.0062
=0.62%
Next, probability of exceeding upper limit.
P(x<=0.125)
=Z((0.125-0.105)/0.008)
=0.9937903
=>
P(x>0.125)
=1-0.9937903
=0.0062
=0.62%
Therefore probability of parts not conforming to specs is (0.62+0.62)=1.24%, or
98.76% of parts conform to specs.
