The following table represents a plan for a project: c. What is the expected com

Question

The following table represents a plan for a project:

c. What is the expected completion time for the project? (Round your answer to 2 decimal places

e. What is the probability that the project will take more than 35 days to complete? (Round your answer to 2 decimal places.)

Probability            

Expected completion time             days?

PREDECESSOR
JOB(S) TIMES (DAYS) JOB NO. a m b 1 – 1 5 9 2 1 2 4 12 3 1 3 6 9 4 1 1 2 9 5 2 1 6 8 6 3 2 5 11 7 4 2 7 12 8 5,6 3 5 10 9 8 2 5 8 10 7 1 4 7 11 9,10 1 3 14

c. What is the expected completion time for the project? (Round your answer to 2 decimal places

e. What is the probability that the project will take more than 35 days to complete? (Round your answer to 2 decimal places.)

Probability            

Expected completion time             days?

Explanation / Answer

E).

Let X = 35, then z-score for normal distribution is given by:

Z = (X - µ)/? = (35 – 31.50)/3.48 = 1.0069

The Probability for z-score = 1.0069 is 0.843 (from Standard Normal Distribution table or by using excel function =NORMSDIST (1.0069))

Probability that project will complete in the 35 months is 0.84 or 84.3%

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