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The calibrated utility functions for auto and transit travel are: Auto: Va =-0.3-0.04 X-0.1 Y - 0.03 C Transit: Vt =-0.04 X-0.1 Y - 0.03 C where: V; = utility function of mode i To = access time X = in-vehicle (ride) time Y = out-of-vehicle travel time (e.g., walking and waiting) C = cost of travel in cents divided by income in $ A traffic zone has the following characteristics: Auto Travel Transit Travel In-vehicle time [minutes] 15 40 Out-of-vehicle time [minutes] 5 10 Travel cost [cents] 300 75 What is the probability that a person with an income of $10,000 will travel by transit?The following is a calibrated modal utility expression for a given urban area: UK = AK- 0.05Ta - 0.04Tw -0.02T, -0.01C where