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 4. 6. 8 P(X = x) 0.269 0.241 0.149 0.195 0.094 0.031 0.016 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?

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**Survey Analysis on Major Changes by College Seniors**

Data were collected from a survey given to graduating college seniors regarding the number of times they changed majors. A probability distribution was constructed based on this data. The random variable \( X \) is defined as the number of times a graduating senior changed majors. The distribution is shown below:

| \( x \)  | 0    | 1    | 2    | 3    | 4    | 5    | 6    | 7    | 8    |
|-------|-----|-----|-----|-----|-----|-----|-----|-----|-----|
| \( P(X = x) \) | 0.269 | 0.241 | 0.149 | 0.095 | 0.094 | 0.031 | 0.016 | 0.003 | 0.002 |

**Questions:**

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?

[Next Question]
Transcribed Image Text:**Survey Analysis on Major Changes by College Seniors** Data were collected from a survey given to graduating college seniors regarding the number of times they changed majors. A probability distribution was constructed based on this data. The random variable \( X \) is defined as the number of times a graduating senior changed majors. The distribution is shown below: | \( x \) | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | |-------|-----|-----|-----|-----|-----|-----|-----|-----|-----| | \( P(X = x) \) | 0.269 | 0.241 | 0.149 | 0.095 | 0.094 | 0.031 | 0.016 | 0.003 | 0.002 | **Questions:** 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? [Next Question]
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