In using the triangulation method to determine the range of an acoustic source, the test equipment must accurately measure the time at which the spherical wave front arrives at a receiving sensor. According to Perruzzi and Hilliard, measurements errors in these times can be modeled as possessing a uniform distribution from -.05 to +.05 us.
a. What is the probability that a particular arrival-time measurement will be accurate to within .01 us?
b. Find the mean and variance of the measurement errors.