Analysis of a PERT problem shows the estimated time for the critical path to be 108 days with a variance of 64. There is a 0.90 probability that the project will be completed before approximately day .
i.98
ii.108
iii.109
iv.115
v.118

There is 0.9 probability that the project will be completed before approximately 118 days

Step-by-step explanation:

To estimate the number of days, the project will be finished, we apply normal distribution formula and also, we use z-chart table to find the corresponding z-score of 0.9 probability.

in z-chart table 0.9 probability = 1.28 z-score, also;

given a variance of 64, δ = √64 = 8, then

x = μ + (zδ)

x = 108 + (1.28 × 8)

x = 108 + 10.24

x = 118.24 ≅ 118 days

Therefore, there is 0.9 probability that the project will be completed before approximately 118 days

i believe the answer is c.