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rome File Edit View History Bookmarks People Window Help TZE) 70%. Tue Sep 11 1:26 PM ShiJin Do Homework-Jinchun Shi secure https://www.mathd.com/Student/PlayerHomework.aspx ?homeworkld-494660241&questionld-17&flushed-false&cld-5131005&centerw.. G GoogleO Operations Management -4231 -MSOM 3101-007, TR 11:00 am - 1 jinChun Shi | 9/11/18 1:26 PM Homework: Ch3 - Project Management Save perations Score: 0.2 of 1 pt 12 of 17 (17 complete)I HW Score: 91.98%, 15.64 of 17 pts Menu Problem 3.23 Question Help * nments omework a Quiz/Tes Using PERT, Adam Munson was able to determine that the expected project completion time for the construction of a pleasure yacht is 21 months, and the project variance is 9 a) The probability that the project will be completed in 12 months 0.0000 (round your response to four decimal places) b) The probablity that the project will be completed in 20 months round your response to four decimal places) Enter your answer in the answer box and then click Check Answer Clear Al Check Answer remaining This course( Management, 12e Management-4231-MSOM 3101-007, TR 11.00am- 1) is based on Heizer / Render/Munson, Operations

Explanation / Answer

Given that,

Expected project completion time, m = 21 months

Project standard deviation, s = SQRT(variance) = SQRT(9) = 3

a) Target completion time, x = 12 months

z = (x-m)/s = (12-21)/3 = -3

P(z) = NORMSDIST(-3) = 0.0013 (this is cumulative probability density function, area under the normal distribution curve to the left of z =-3)

Probability that the project will be completed in 12 months = 0.0013

b)

x = 20 months

z = (20-21)/3 = -0.3333

P(z) = NORMSDIST(-0.3333) = 0.3695 (this is cumulative probability density function, area under the normal distribution curve to the left of z =-0.3333)

Probability that the project will be completed in 20 months = 0.3695

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