Julia attendsclasses at Modesto Junior College. The probability that Julia enrolls in a math class is 0.2 and the probability that she enrolls in a speech class is 0.65. The probability that she enrolls in a math class given that she enrolls in a speech class is 0.25.

(a) Are the two events independent? Explain your reasoning.

(b) Are the two events mutually exclusive? Explain your reasoning.