Answer Happy

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: 0 2 3 4 5 6 7 8 P(X = x) 0.271 0.273 0.125 0.193 0.089 0.033 0.011 0.003 0.002 a. What is the probability that a randomly selected student changed his or her major at least once? .729 1 b. What is the probability that a randomly selected student changed his or her major at most twice? 0.669 c. Given that a randomly selected person did change majors, what is the probability that he or she changed majors more than three times? .138 X