Question

You are driving a car and the speed is an exponentialy distributed random variable
with mean 50 (in miles per hour). The speed limit is 60 miles per hour, and if your speed is
x > 60 miles per hour, the probability you are stopped by the police is 1 - e^(6-(10/x)), and if you
are indeed stopped you will pay the fine of 100(x - 60) dollars. Find the probability you are
stopped and pay more than 1000 dollars.