Question
An automobile driver and a bicyclist are on the same street. The probability of an accident is given by p(x,y) = 1/[1+ min{x,y}], where x
An automobile driver and a bicyclist are on the same street. The probability of an accident is given by p(x,y) = 1/[1+ min{x,y}], where x denotes the driver's level of care and y denotes the bicyclist's level of care. These must be finite and non-negative. Note that the expression min{x,y} takes on the value of the smaller value of x and y. For example, if x = 200 and y = 1000, min{x,y} = 200. Additionally, note that if p(k) 1/[1+k], the marginal probability p'(k) = -1/[1+k]2.
Suppose that an accident occurring results in a loss of 2430 to the bicyclist (0 to the driver), and they each have a marginal cost of care of 15. The driver's level of care is 4 and the bicyclist's is 5, and an accident occurs. If the court uses comparative negligence, what is the outcome?
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