An individual faces a loss X that is uniformly distributed $(0,200).$ The individual can purchase partial insurance against this loss, under which he would pay Y$=$min$($X$,100),$ so that the individual would pay the loss in its entirety if it were less than $100$ and would pay $100$ if contrary. The individual makes decisions using the utility function u$($x$)=$x$^(2/5).$ Is the individual willing to pay $80$ for this partial insurance coverage if his wealth is $300?$