To calculate the estimated expected $($mean$)$ time for activity Y$,$ you can use the formula for the expected duration, which is $($Optimistic $+4*$ Most Likely $+$ Pessimistic$)/6.$

For activity Y:

Optimistic $=26$ days

Most Likely $=29$ days

Pessimistic $=38$ days

Explanation:

Now, plug the values into the formula:

Estimated Expected Time for Y $=(26+4*29+38)/6$

Estimated Expected Time for Y $=(26+116+38)/6$

Estimated Expected Time for Y $=180/6$

Estimated Expected Time for Y $=30$ days

So$,$ the estimated expected $($mean$)$ time for activity Y is $30$ days.

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