The project involves a home purchaser who has to decide in buying one of two relatively similar houses. Information related to the two houses are provided below:

House A $($Bad Condition$)$: Priced at $$335,000$

House B $($Good Condition$)$: Priced at $$400,000$

The purchaser conducted research about the potential renovation costs for the two houses. The purchaser$$s research resulted in the table below:

Renovation Outcome

House A

House B

Cost,

Probability,

Cost,

Probability,

Renovations Done by Buyer

$$65,000$

$0\mathrm{.}05$

$$5,000$

$0\mathrm{.}10$

Renovations Done by Contractor

$$120,000$

$0\mathrm{.}80$

$$10,000$

$0\mathrm{.}80$

Renovations Done by Byer and Contractor

$$80,000$

$0\mathrm{.}10$

$$5,000$

$0\mathrm{.}09$

Renovation Allowance

$-$$$5000$

$0\mathrm{.}05$

$-$$$5,000$

$0\mathrm{.}01$

Answer the following questions and provide your computations for parts $1-7$:

$[15$ pts$]$ Find expected renovation cost for House A

Formula: $=$