Question

A local project being analyzed by PERT has 42​ activities, 13 of which are on the critical path. If the estimated time along the critical path is 105 days with a project variance of​ 25, what is the probability that the project will be completed in 95 days or​ less?

Answer 1

Answer:

the probability that the project will be completed in 95 days or​ less, P(x ≤ 95) = 0.023

Step-by-step explanation:

This is a normal probability distribution question.

We'll need to standardize the 95 days to solve this.

The standardized score is the value minus the mean then divided by the standard deviation.

z = (x - xbar)/σ

x = 95 days

xbar = mean = 105 days

σ = standard deviation = √(variance) = √25 = 5

z = (95 - 105)/5 = - 2

To determine the probability that the project will be completed in 95 days or​ less, P(x ≤ 95) = P(z ≤ (-2))

We'll use data from the normal probability table for these probabilities

P(x ≤ 95) = P(z ≤ (-2)) = 0.02275 = 0.023