You are involved in estimating the time it will take to implement a new software package. You have learned that the most likely time will be $60$ days. The pessimistic or longest it should take would be $72$ days. If everything goes well the shortest possible time is $48$ days. What is the weighed average or expected time using the beta $($also called three$-$point method$)$ distribution?

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$30$

$54$

$60$

$66$