Tate is trying to decide if he should spend

$\backslash [\backslash$$$100\backslash ]$ to purchase virus protection software for his new computer.

There are currently three viruses in circulation. The software that he is considering purchasing will protect him perfectly from the Trojan virus and the Pikachu virus, but will not protect him from the ADA virus.

Based on his research, Tate makes the table below which shows the probability and cost of repair for the three viruses currently in circulation. Assume that Tate can get at most one virus and that this table is accurate.

What is the expected total cost of viruses and software if Tate purchases the virus protection software? Round your answer to the nearest dollar.

$\backslash [\backslash$$$\backslash ]$

What is the expected total cost of viruses and software if Tate does not purchase the virus protection software? Round your answer to the nearest dollar.

$\backslash [\backslash$$$\backslash ]$

If Tate wants the best payoff in the long run, he should

$.$

Type of virus Cost of repair Probability

Pikachu

$\backslash [\backslash$$$200\backslash ]$

$\backslash [25\backslash \%\backslash ]$

Trojan

$\backslash [\backslash$$$100\backslash ]$

$\backslash [15\backslash \%\backslash ]$

ADA

$\backslash [\backslash$$$400\backslash ]$

$\backslash [10\backslash \%\backslash ]$