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

99

degrees or between

261

and

360

degrees?