2. Consider the probability distribution X, where X is the number of times a college graduate has changed majors. For each question please translate to probability notation and then answer as a percent or decimal. X 0 2 3 4 5 6 7 8 P(x) 0.135 0.271 0.271 0.18 0.09 0.036 0.012 0.003 0.002 a) What is the probability that a randomly selected college student changed majors at most twice? Report your answer to three decimal places. b) What is the probability that a randomly selected college student changed majors at least three times? c) What is the probability that a randomly selected college student did not change their major