**Educational Website Resource: Probability Distribution of Changing College Majors****Introduction:**A survey was conducted with graduating college seniors to determine the number of times they changed their majors. From this survey data, a probability distribution was created. The random variable \( X \) represents the number of major changes a graduating senior experienced. The distribution is outlined in the table below.**Probability Distribution Table:**| \( x \) | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 ||---------|-------|-------|-------|-------|-------|-------|--------|--------|--------|| \( P(X = x) \) | 0.269 | 0.241 | 0.149 | 0.195 | 0.094 | 0.031 | 0.016 | 0.003 | 0.002 |**Questions:**a. **Probability of Changing Major at Least Once:** - What is the probability that a randomly selected student changed his or her major at least once?b. **Probability of Changing Major at Most Twice:** - What is the probability that a randomly selected student changed his or her major at most twice?c. **Conditional Probability of Changing More Than Three Times:** - Given that a randomly selected person did change majors, what is the probability that he or she changed majors more than three times?Explore this distribution to better understand the likelihood and frequency of major changes among college seniors.

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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: 3 6. 7 8 P(X = x) 0.269 0.241 0.149 0.195 0.094 0.031 0.016 0.003 0.002 %3D 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?

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 6. 7 8 P(X = x) 0.269 0.241 0.149 0.195 0.094 0.031 0.016 0.003 0.002 %3D 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?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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