ENME 392 Problem Solving Session 1

ENME 392 Problem Solving Session 1 - ENME 392 Problem...

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Unformatted text preview: ENME 392 Problem Solving Session 1 2.70 (2.74 Ed 8) Production Cost=$4/box Purchase Cost=$4.5/box Production= 50,000 boxes/week Pr(underfill)=.001 [From 2.69] a. Weekly Profit=(4.5-4)*50000=$25000 b. Loss=production loss + purchase loss Loss= #of boxes lost (production loss/box + purchase loss/box)=.001*50000*(4+.5)=$225 2.85 (2.89 Ed 8) D: Correct diagnosis S: Patient files a lawsuit Pr(D)=.7 Pr(S/D’)=.9 Pr(D’and S)=Pr(S/D’)*Pr(D’)= .9 *(1-.7) =.27 2.106 (2.112 Ed 8) Let X=# of cars receiving gas X 0 1 Pr(X) .03 .18 a. b. c. d. 2 .24 3 .28 Pr(X>2)=.28+.1+.17=.55 Pr(X<=4)=.03+.18+.24+.28+.1=1-.17=.83 Pr(X>=4)=.1+.17=.27 P(X>1)= .24+.28+.1+.17=1-(.03+.18)=.79 * 2.119 (2.127 Ed 8) L0: No defective in the lot L1: One defective in the lot L2: Two defectives in the lot A: Two non defectives selected lot Pr(A/L0)= 1 Pr(A/L1)= =9/10 Pr(A/L2)= =153/190 N=20 Pr(L0)=.6 Pr(L1)=.3 Pr(L2)=.1 4 .1 5 or more .17 a. b. c. Pr(L2/A)=1-Pr(L1/A)-Pr(L0/A)=.0847 3.7 a. b. 3.41 X: weight of creams Y: weight of toffees Z: weight of cordials (X+Y+Z=1) a. b. c. =.2891 ...
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