The following table contains information about a project. Use it to answer the problems $26-27$ : The Project Manager is about to begin a project comprised of the following six activities:

TIME ESTIMATES $($days$)$

$\backslash$table$[[,$Immediate,,,$],[$Activity$,$Predecessor$($s$),$Optimistic,Most Likely,Pessimistic$],[$J$,-,8,10,15],[$K$,-,7,8,9],[$L$,$J$,5,6,10],[$M$,$J$,3,3,3],[$N$,$K$,$M$,1,5,9],[$O$,$K$,$M$,4,7,10],[$P$,$L$,$N$,3,8,10]]$

What is the expected $($mean$)$ time for project completion?

a$.23$ days

b$.66$ days

c$.31$ days

d$.26$ days

e$.47$ days