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Contract requirements state that a project must be completed within 180 working days, or it will incur penalties for late completion. Analysis of the activity network reveals an estimated project time of 145 working days with a project variance of 400. What is the probability that the project will be completed before the late-payment deadline

Answer :

Answer:

0.9599 is the probability that the project will be completed before the late-payment deadline.      

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 145

Variance, [tex]\sigma^2[/tex] = 400

Standard deviation:

[tex]\sigma = \sqrt{400} = 20[/tex]

Formula:

[tex]z_{score} = \displaystyle\frac{x-\mu}{\sigma}[/tex]

P( project will be completed before the late-payment deadline)

We have to evaluate

[tex]P( x \leq 180) = P( z \leq \displaystyle\frac{180 - 145}{20}) = P(z \leq 1.75)[/tex]

Calculation the value from standard normal z table, we have,  

[tex]P(x \leq 180) =0.9599= 95.99\%[/tex]

0.9599 is the probability that the project will be completed before the late-payment deadline.

The  probability that the project will be completed before the late-payment deadline is 0.9599

Given that,

  • Estimated project time of 145 working days with a project variance of 400.

Calculation:

Since the variance is 400 so the standard deviation is 20.

Now

The probability is

[tex]= P (z \leq \frac{180-45}{20} ) = P(z\leq 1.75)[/tex]

So,

[tex]P(z\leq 180) = 0.9599 = 95.99\%[/tex]

Learn more about the probability here: https://brainly.com/question/795909?referrer=searchResults

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