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?
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?
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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Question 6
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.
4
6.
7 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?
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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