Leon Bowie is trying to determine the amount to set aside so that he will have enough money on hand in $6$ years to overhaul the engine on his vintage used car. While there is some uncertainty about the cost of engine overhauls in $6$ years, by conducting some research online, Leon has developed the following estimates.Engine Overhaul

Estimated Cash Outflow

Probability

Assessment

$$380$

$10\%$

$450$

$30\%$

$810$

$50\%$

$800$

$10\%$