math
posted by hsuan .
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.
Respond to this Question
Similar Questions

Calculus/ Optimization
A truck driver, on assignment from the owner of the truck is to drive on a 300 mile stretch of highway at a constant speed of v miles per hour. According to road signs, the minimum speed allowed is 55 miles per hour and the speed limit … 
Math/ Calculus Please HELP!!!
A truck driver, on assignment from the owner of the truck is to drive on a 300 mile stretch of highway at a constant speed of v miles per hour. According to road signs, the minimum speed allowed is 55 miles per hour and the speed limit … 
math
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 … 
math
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 … 
maths
A motorist travels 120 miles to his destionation at an average speed of 60 miles per hour and returns to the starting point at an average speed of 40 miles per hour.His average speed for the entire trip is 1. 53 miles per hour 2. 52 … 
math Help ASAP
write and solve inequality 17. the speed limit of a highway is 55 miles per hour. a car is traveling at least 65 miles per hour. how many miles per hour m over the speed limit is the car traveling? 
algebra
A student runs 100 meters in 11 seconds. What is the speed of the student? 
Trigonometry Help!
After one hour in flight, an airplane is located 200 miles north and 300 miles west of the airport. What is the magnitude of the plane's velocity? 
stats
Homeowners claim that the mean speed of automobiles traveling on their street is greater than the speed limit of 35 miles per hour. A random sample of 120 automobiles has a mean speed of 37 miles per hour and a standard deviation of … 
Math
On a trip of d miles to another city, a truck driver's average speed was x miles per hour. On the return trip the average speed was y miles per hour. The average speed for the round trip was 50 miles per hour. Show that y=25x/(x25) …