Answer:
96.02
Explanation:
Lottery's Expected utility = [tex]\sqrt{100}[/tex] = 10
Income in good state = 100 - 36 + G = 64 + G
Income in bad state = 100 - 36 = 64
Probability in good state = 43%
Probability in bad state = 100% - 43% = 57%
Expected utility = Probability in good state x [tex]\sqrt{(64 + G )}[/tex] + Probability in bad state x [tex]\sqrt{64\\}[/tex]
10 = 43% x [tex]\sqrt{(64 + G )}[/tex] + 57% x 8
10 = 43% x [tex]\sqrt{(64 + G )}[/tex] + 4.56
10 - 4.56 = 43% x [tex]\sqrt{(64 + G )}[/tex]
5.44 = = 43% x [tex]\sqrt{(64 + G )}[/tex]
5.44 / 43% = [tex]\sqrt{(64 + G )}[/tex]
12.65 = [tex]\sqrt{(64 + G )}[/tex]
[tex]12.65^{2}[/tex] = [tex](\sqrt{(64 + G )})^{2}[/tex]
160.0225 = 64 + G
G = 160.0225 - 64
G = 96.0225
G = 96.02
