Data were collected from a survey given to graduating college seniors on the number of times they had changed majors. From that data, a probability distribution was constructed. The random variable X is defined as the number of times a graduating senior changed majors. It is shown below: 2 3 4 5 7 P(X = 2) 0.218 0.245 0.235 0.175 0.07 0.04 0.012 0.003 0.002 a. What is the probability that a randomly selected student changed his or her major at least once? 2 0 1 6 8 b. What is the probability that a randomly selected student changed his or her major at most twice? c. Given that a randomly selected person did change majors, what is the probability that he or she changed majors more than three times