Question

The tree diagramın figure below describes the uncertain cash flows for an engineering pro e a. What are the E(PW), V(PW), and SD(PW) of the project? b. What is the probability that PW 2 0? The analysis e o years and ARR 15% per year d ased on his to mation. Click the icon to view the tree diagram. Click the icon to view the interest and annuity table for discrete compounding when the MARR is 15% per year. a. Calculate the E(PW), V(PW), and SD(PW) of the project. E(PW) = (Round to the nearest dollar ) v(PW) million ($)2 (Round to two decimal places.) SD(PW)-SRound to the nearest dollar.) b. The probability that PW z 0 is(Round to two decimal places.)

Answer 1

i clata ', Ca) The term aned dffen bnanches of the tree dlagrams n the tree -Here. 옷-Present, Worth focbY acfoy trn. at MARR =1 , png) Cs Scanned with CamScanner

2 Calculation « PWC) fo dfevent bnches Cash g.| -$29,000 1 -韧9'oco t + 6,0001 08696) 17,500 ( 0756) -29,000 + 5,0 8 + 13,232 여 ,500 千6,000 $10,560 t$19,000 (0,756) 辛14 , B66 $11416 3. | -$29,000| 串6,000 | 4 23,000 ||ー#291000+中召/000 Co.869 6)+串23,000(075si 113 4-1 -begrooo | +12,000 | 추20,000 co-86%) 20000/b-YS61) $291 000 101436+ 151122. CamScanner

5-1 | 4a4 ,600 | Г-4a7.co+4lZrooo(o.s 一韧 ,cco 4 12,coc + 24 600 (056) 29;000 t事10,436 + 36 -42910001 41210001 4281000 |·キ29,000 +も12, 000 6. 스 -529,000+410,000 = 42,604. ← $ 29,000 + 4 191000 10.8696 |$19,000 |串41,500 孑, l-$ ![-$29,coo + 4 19,000 (0.86% 29,cco 十-$ 22luoo 10.7561) | ーキ29,00014 19,000 1 421.000 | โ -$291000+ 19,000 108696 48,315 一串29mo +419,000 10.8694) 9. 29,000 | 2,000 | 931,000 CamScanner

The probabto each 2-23 tI.32 0.02 9,41610.0υ) | =-431] 3.SS 88.67 3.1-46,39 11(0.2)(0-1) | -46,341 S-72 3u2(0-12) 후 1' 느 D. 18 69.ty S.S3 - $ 66S ไอ0.15 21 , CS Scanned with-(o 0s)

The expected present Worth., ElpW),'s calculated as, 3 r(PW) = IPIN (1).PCI/. _ + 4658 The exPoled present worth., of diferent branches 아 atree dlagram is 415 23+ 3.55 t 5.72艹42 +1.22+1.19+ 5.53+1-21) 10° Cか 28.01 x 10 → TheVitance 야 present worth . ,VCpW)," Calculated ab Worth.,VON). 28 ou x1&qt CSI Scanned.vvthe var'lan ee4Prusen CamScanner

The S.D of p. , soCpu) , the moot of vpw 5,295 .. . SDIPW)こ 串5,295 o.30+ o.18+e-06+0.08 +0.06、 2 0.68 CS Scanned with CamScanner