You have determined the critical path in a cpm analysis. you would like to determine the probability of completing the project is a desired period of time. one of the activities on the critical path has an optimistic time of 5 minutes, a most likely time of 6, and a pessimistic time of 17. what is the variance estimate of this activity?

The variance estimate of this activity is 4.

Step-by-step explanation:

Given information: One of the activities on the critical path has

Optimistic time = 5 minutes

Most likely time = 6 minutes

Pessimistic time = 17 minutes

The variance estimate of a activity is

where, is pessimistic time of that activity and   is optimistic time of that activity.

The variance estimate of the given activity is

Therefore the variance estimate of this activity is 4.

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!