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A project being analyzed by PERT has 38 activities, 16 of which are on the critical path. If the estimated time along the critical path is 90 days with a project variance of 25, what is the probability that the project will be completed in 88 days or less?

Respuesta :

Answer:

required probability is .3446

Step-by-step explanation:

It is given that most expected time of completion = 90 days

Variance = 25

We know that

[tex]\sigma =\sqrt{Variance}\\\\\sigma =\sqrt{25}\\\sigma =5[/tex]

Thus the standard normal deviate is given by

[tex]Z=\frac{X-\bar{X}}{\sigma }[/tex]

Applying values we get

[tex]Z=\frac{88-90}{5}\\\\Z=-0.4[/tex]

Using the standard table for Z we have probability corresponding to Z = -0.4 equals 0.3446

Thus required probability is .3446

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