Linda is a experienced project manager that makes her aware of risks. She is preparing a project with a projected project duration of $45$ weeks.

Now Linda does a three point estimate on the critical path $($CP$)$ and calculates the Te and the variance. The Te is $47$ weeks and the variance of the critical activities is $17,8.$ Linda now calculates the probabilities of meeting the recommended project duration and discovers that the probability $($p$)$ of finishing the project on schedule is $=0,31(31\%).$

The risk strategy Linda follows stipulates that a project should have a minimum $65\%$ probability of finishing on schedule. Linda therefore goes to the project owner and reccomends to him to change the scheduled duration $($Ts$)$ to what number of weeks as minimum? The numbers are rounded up$.$