(Step-by-Step) A bettor with utility function $U(x)=ln (x)$, where $x$ is total wealth, has a choice between the following two alternatives: A Win $10,000
Question: A bettor with utility function $\mathrm{U}(x)=\ln (x)$, where $x$ is total wealth, has a choice between the following two alternatives:
A Win $10,000 with probability 0.2
Win $1000 with probability 0.8
B Win $3000 with probability 0.9
Lose $2000 with probability 0.1
a If the bettor currently has $2500, should he choose \(\mathrm{A}\) or \(\mathrm{B} ?\)
b Repeat a, assuming the bettor has $5000.
C Repeat a, assuming the bettor has $10,000.
d Do you think that this pattern of choices between \(\mathrm{A}\) and \(\mathrm{B}\) is reasonable? Why or why not?
Deliverable: Word Document 