After her final exam this semester, Sylvia must drive from her school in Philadelphia to her home in upstate New York and has two possible routes for her trip: through Pennsylvania (PA) or through New Jersey (NJ). Sylvia drives over the speed limit. In choosing her route, Sylvia's only concern is the probability that she will receive a speeding ticket and the amount of the fine on a given route. Prior to the trip, Sylvia's wealth is Y = $400.00. Sylvia's utility of wealth function is U(Y) = 0.5Y. Sylvia has a probability of 0.5 of receiving a $400.00 speeding ticket on the PA route and a probability of 0.25 of receiving a $500.00 fine on the NJ route. (round all answers to the nearest penny) a. If Sylvia travels through NJ, her expected fine is $ b. If Sylvia travels through PA, her expected fine is $ expected wealth is S expected wealth is $ and expected utility is $ and expected utility is $

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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After her final exam this semester, Sylvia must drive from her school in Philadelphia to her home in upstate New York
and has two possible routes for her trip: through Pennsylvania (PA) or through New Jersey (NJ). Sylvia drives over the
speed limit. In choosing her route, Sylvia's only concern is the probability that she will receive a speeding ticket and the
amount of the fine on a given route. Prior to the trip, Sylvia's wealth is Y = $400.00. Sylvia's utility of wealth function is
U(Y) = 0.5Y. Sylvia has a probability of 0.5 of receiving a $400.00 speeding ticket on the PA route and a probability of
0.25 of receiving a $500.00 fine on the NJ route.
(round all answers to the nearest penny)
a. If Sylvia travels through NJ, her expected fine is $
b. If Sylvia travels through PA, her expected fine is $
expected wealth is $
expected wealth is $
and expected utility is $
and expected utility is $
Transcribed Image Text:After her final exam this semester, Sylvia must drive from her school in Philadelphia to her home in upstate New York and has two possible routes for her trip: through Pennsylvania (PA) or through New Jersey (NJ). Sylvia drives over the speed limit. In choosing her route, Sylvia's only concern is the probability that she will receive a speeding ticket and the amount of the fine on a given route. Prior to the trip, Sylvia's wealth is Y = $400.00. Sylvia's utility of wealth function is U(Y) = 0.5Y. Sylvia has a probability of 0.5 of receiving a $400.00 speeding ticket on the PA route and a probability of 0.25 of receiving a $500.00 fine on the NJ route. (round all answers to the nearest penny) a. If Sylvia travels through NJ, her expected fine is $ b. If Sylvia travels through PA, her expected fine is $ expected wealth is $ expected wealth is $ and expected utility is $ and expected utility is $
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