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: 3 P(X = x) 0.195 0.183 0.294 0.179 0.098 0.034 0.012 0.003 0.002 1 2 4 6 7 8 a. What is the probability that a randomly selected student changed his or her major at least once? 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?

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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:
1
2
3
5
6
7
8
P(X = x) 0.195 0.183 0.294 0.179 0.098 0.034 0.012 0.003 0.002
a. What is the probability that a randomly selected student changed his or her major at least once?
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?
Check Answer
Transcribed Image Text: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: 1 2 3 5 6 7 8 P(X = x) 0.195 0.183 0.294 0.179 0.098 0.034 0.012 0.003 0.002 a. What is the probability that a randomly selected student changed his or her major at least once? 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? Check Answer
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