While walking from the car into your dormitory, you dropped your engagement ring somewhere in the snow. The path is straight and 30 feet long. You are distraught because the density of its location seems to be constant along this 30-foot route.
a. What is the probability that the ring is within 12 feet of your car?
b. What is the probability that the ring is between 9 to 11 feet away from the car?
c. What is the expected distance and the standard deviation for the distance from the car where the ring fell?