Problem $17-10($Static$)$

The project described in the following table has just begun. It is scheduled to be completed in $11$ weeks.

Use Table B$1$ and Table B$2.$

Path Activity Estimated Time

$($weeks$)$ Standard Deviation

$($weeks$.)$

A C $40\mathrm{.}70$

D $60\mathrm{.}90$

B E $30\mathrm{.}62$

F $91\mathrm{.}90$

Click here for the Excel Data File

a$.$ If you were the manager of this project, would you be concerned? $($Round your intermediate calculations to $2$ decimal places and "Probability" values to $4$ decimal places.$)$

b$.$ If there is a penalty of $$5,000$ a week for each week the project is late, what is the probability of incurring a penalty of at least $$5,000?($Round your intermediate calculations to $2$ decimal places and "Probability" values to $4$ decimal places.$)$