mont4e_sm_ch05_sec06

45 p z 245 200072 0014 no c p e w 2w

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Unformatted text preview: use σe2 = 0.5σw2 the probability is = P (Z > 3σw / (1.5σw2)1/2) + P (Z < -3σw / (1.5σw2)1/2) = P (Z > 2.45) + P (Z < -2.45) = 2(0.0072) = 0.014 No. (c) P( E + µw + 2σw > µw + 3σw) = P(E > σw) = P(Z > σw/(0.5σw2)1/2) = P(Z > 1.41) = 0.079 Also, P( E + µw + 2σw < µw – 3σw) = P( E < – 5σw) = P(Z < -5σw/(0.5σw2)1/2) = P(Z < -7.07) ≈ 0 5-66 D=A-B-C a) E(D) = 10 - 2 - 2 = 6 mm V ( D) = 0.12 + 0.052 + 0.052 = 0.015mm 2 σ D = 0.1225mm 5.9 − 6 b) P(D < 5.9) = P(Z < ) = P(...
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