A farmer has $3$ decision options. There is a possible storm coming which could freeze his produce.

The probability of a freeze is $0\mathrm{.}2$ and the probability of non freeze is $0\mathrm{.}8.$ He could take $3$ actions; full

protection, light protection, and no protection. Full protection would cost him $20000$ dollars, light

protection would cost $10000$ dollars and no protection $0$ dollars. Furthermore, if he picks full protection

even with the event of a freeze he would not lose any additional money. If he picks light protection, with

the event of a freeze $25000$ dollars worth of produce would be ruined. If he picks no protection $100000$

dollars worth of produce would be ruined.

Part B: The farmers daughter takes a course on decision analysis. She uses past data. Her

model is $P(x)={}_{1}x$

Where $x$ is an observed feature.

$F_x(x)=1$ for ${}_1=0\mathrm{.}4x=0\mathrm{.}8x|x=x{E}_x[EMV|x=x]x,$ follows strategy $10,$ and ${}_1=0\mathrm{.}4$

$E$