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Discussion :: Industrial Engineering and Prod'n Mgmt

  1. A PERT network has three activities on critical path with mean time 3, 8 and 6 and standard deviations 1, 2 and 2 respectively. The probability that the project will be completed in 20 days is

    2. A.

     0.50
    B.

     0.66
    C.

     0.84
    D.

     0.95

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    Answer : Option C

    Explanation :

    Standard deviation = square root of (variance) = square root of (1 * 1 + 2 * 2 + 2 * 2) = square root of (9) = 3.
    D = 20.
    S = 3 + 8 + 6 = 17.

    Probability = (D - S)/standard deviation = 1.
    Now, from Z table probability = 0.84.

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