Defects can occur anywhere on the wheel of a car during the manufacturing process. If X is the angle where the defect occurs, measured from a reference line, then X can be modeled as a uniform random variable on the interval from 0 to 360 degrees.
a) What is the probability that the defect is found between 0 and 180 degrees?
b) What is the probability that the defect is found between 0 and 45 degrees or between 315 and 360 degrees?