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help me please Using PERT, Adam Munson was able to determine that the expected p

ID: 457156 • Letter: H

Question

help me please Using PERT, Adam Munson was able to determine that the expected project completion time for the construction of a pleasure yacht is 24 months, and the project variance is 9. a) What is the probability that the project will be completed in 17 months? b) What is the probability that the project will be completed in 20 months? c) What is the probability that the project will be completed in 23 months? d) What is the probability that the project will be completed in 25 months? e) What is the due date that yields a 95% chance of completion?

Explanation / Answer

Mean time=24 Variance=9 Std dev=sqrt(variance)=sqrt(9)=3 a) probability of 17 months z=(x-mean)/stddev=(17-24)/3=-7/3=-2.33 see z table probability=0.0099 b) probability for 20 months z=(20-24)/3=-1.33 probability=0.0918 c) probability for 23 months z=(23-24)/3=-0.33 probability=0.3745 d) probability for 25 months z=(25-24)/3=0.33 probability=0.6293 e)95% chance of completion z=1.64 hence 1.64=(x-24)/3 x=1.64*3+24=29