An experienced senior employee estimates that assembling a toy hovercraft from scratch would cost $$285.$ Another employee provides $$320$ as an estimate taking into account all identified risks associated with the assembly. An enthusiastic employee has done additional research and found that if everything goes smoothly $($i$.$e$.,$ no risks materializing$)$ the assembly may cost $$100$ dollars less than the provided estimate with all identified risks.

Using three$-$point cost estimating $($both triangular and beta distribution$),$ please provide cost estimates for assembling a toy airplane. Show all your work in the space below $($including formulas and calculations$).$

Optimistic cE: $$\_$

Pessimistic cE: $$\_$

Most likely cE: $$\_$

Three$-$point cost estimate $($triangular distribution$)$: $\_$

Three$-$point cost estimate $($beta distribution$)$: $\_$