Data were collected from a survey given to graduating college seniors on the number of times they hadchanged majors. From that data, a probability distribution was constructed. The random variable X isdefined as the number of times a graduating senior changed majors. It is shown below:1348P(X = x) |0.252 0.286 0.13 0.188 0.082 0.038 0.02 0.003 0.001a. 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 shechanged majors more than three times?(Round your answer to three decimal places.)

Answered: Data were collected from a survey given…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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: xx 0 1 2 3 4 5 6 7 8 P(X=x)P(X=x) 0.274 0.292 0.134 0.156 0.088 0.034 0.018 0.003 0.001 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?

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