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: x
0 1 2 3 4 5 6 7 8
P
(
X
=
x
)
0.194 0.277 0.214 0.19 0.069 0.04 0.011 0.003 0.002
Answer as a fraction or round the answer off to three decimal places:
What is the probability that a randomly selected student changed his or her major at least once?

What is the probability that a randomly selected student changed his or her major at most twice?

Given that a randomly selected person did change majors, what is the probability that he or she changed majors more than three times?