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 4 7 8 P(X = x) 0.187 0.305 0.165 0.187 0.097 0.036 0.018 0.003 0.002 a. What is the probability that a randemly 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: 1 4 7 8 P(X = x) 0.187 0.305 0.165 0.187 0.097 0.036 0.018 0.003 0.002 a. What is the probability that a randemly 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?
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 39E: Assume that the probability that an airplane engine will fail during a torture test is 12and that...
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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 distributioni was constructed. The random variable X is defined
as the number of times a graduating senior changed majors. It is shown below:
1
4
6.
7
8
P(X = x) | 0.187 0.305 0.165 0.187 0.097 0.036 0.018 0.003 0.002
a. What is the probability that a randsmly 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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