Question

1.) Data were collected from a survey given to graduating college seniors on the number of...

1.)

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:

xx 0 1 2 3 4 5 6 7 8
P(X=x)P(X=x) 0.265 0.223 0.22 0.153 0.083 0.038 0.014 0.003 0.001
  1. What is the probability that a randomly selected student changed his or her major at least once?
      
  2. What is the probability that a randomly selected student changed his or her major at most twice?
      
  3. Given that a randomly selected person did change majors, what is the probability that he or she changed majors more than three times?
      

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Answer #2

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