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Chapter 16: Quality Control Methods37.502a. AOQ = pP(A)= p[( 1−p) + 50 p( 1−p) + 1225 p ( 1−p) ]4948p .01 .02 .03 .04 .05 .06 .07 .08 .09 .10AOQ .010 .018 .024 .027 .027 .025 .022 .018 .014 .011b. p = .0447, AOQL = .0447P(A) = .0274c. ATI = 50P(A) + 2000(1 – P(A))p .01 .02 .03 .04 .05 .06 .07 .08 .09 .10ATI 77.3 202.1 418.6 679.9 945.1 1188.8 1393.6 1559.3 1686.1 1781.638. AOQ pP(A)= p[( 1−p) + 50 p( 1 − p) ]50= . Exercise 32 gives P(A), so multiplyingeach entry in the second row by the corresponding entry in the first row gives AOQ:p .01 .02 .03 .04 .05 .06 .07 .08 .09 .10AOQ .0091 .0147 .0167 .0160 .0140 .0114 .0089 .0066 .0048 .003449ATI = 50P(A) + 2000(1 – P(A))p .01 .02 .03 .04 .05 .06 .07 .08 .09 .10ATI 224.3 565.2 917.2 1219.0 1455.2 1629.5 1753.3 1838.7 1896.3 1934.15049[ pP(A)= p[( 1−p) + 50p( 1−) ]] = 0d dAOQ = pdp dp48 + 110.91equation 2499 p 2 − 48p−1= 0 , from which p == . 03184998AOQL = . 0318P(A)≈ .0167 .gives the quadratic, and479

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