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Answer:

0.1241

Step-by-step explanation:

Given that:

Critical path = 37 days

Variance total = 27 days

Completion date (x) = 43 days

We obtain the Zscore :

Zscore = (x - critical path) / variance total

Zscore = (43 - 37) / √27

Zscore = 6 / √27

Zscore = 1.1547

Zscore = 1.155

Hence, probability of completing in 43 days :

P(Z > 43) = 1 - P(Z < 43)

P(Z < 43) = 0.8759

P(Z > 43) = 1 - 0.8759 = 0.1241

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