Question

The calibrated utility functions for auto and transit travel are: Auto: V(a) = - 0.334 -...

The calibrated utility functions for auto and transit travel are:
Auto: V(a) = - 0.334 - 0.04 X - 0.11 Y - 0.03 C
Transit: V(t) = - 0.044 X - 0.12 Y - 0.03 C
where,
V(i) = utility function of mode i,
X = in-vehicle travel time
Y = out-of-vehicle travel time
C = cost of travel in cents / income in thousands
A traffic zone has the following characteristics:
Auto travel Transit travel
In-vehicle time (min) 15 20
Out-of-vehicle time (min) 3 10
Travel cost (cents) 300 100
What is the probability that a person with an income of $12,000 will travel by each mode?

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