Using PERT, Harold Benson was able todetermine that the expected project complet

Question

Using PERT, Harold Benson was able todetermine that the expected project completion time for theconstruction of a pleasure yacht is 23.6 months and the projectvariance is 9.

What is the probability that the project willbe completed in 22 months?

Round your answer to 3 decimal places; forexample, .123.

What is the probability that the project willbe completed in 25 months?

Round your answer to 3 decimal places; forexample, .123.

Using PERT, Harold Benson was able todetermine that the expected project completion time for theconstruction of a pleasure yacht is 23.6 months and the projectvariance is 9.

(a)

What is the probability that the project willbe completed in 22 months?

Round your answer to 3 decimal places; forexample, .123.

(b)

What is the probability that the project willbe completed in 25 months?

Round your answer to 3 decimal places; forexample, .123.

Explanation / Answer

Mean: 23.6 Variance: 9 Standard deviation: 3 Assume a normal distribution here. a) P(X < 22) = P(Z < (22-23.6)/3) = P(Z < -0.533) =0.680 [figures obtained from a standard normal table] b) P(X < 25) = P(Z < (25-23.6)/3) = P(Z < 0.467) = 0.297

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