Answer:
0.73
Explanation:
A Z-score is a statistical measurement that defines the relationship between a value and the mean of a group, given the standard deviations from the mean. If a Z score is 0, it implies that that the value being measured is identical to the mean score. A Z-score of 2.0 indicate that the value being measured is two standard deviation away from the group mean.
Standard deviation = √variance = √25
=5 days
Z value that corresponding to the possibility of completing the project in 33 days or less is
Z=(33-30)/5 = 3/5 = 0.6
probability that the project will be completed in 33 days or less = P(Z ≤ 0.6)
from Z table
P(Z ≤ 0.6) = 0.72575 ≈ 0.73 (2 decimal accuracy)