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 012345678P(X=x)P(X=x) 0.2440.2340.2330.160.0680.0390.0170.0030.002What 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? What is the probability that a randomly selected student changed his or her major exactly twice? What is the mean number of times students changed majors? What is the standard deviation of X?

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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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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)	0.244	0.234	0.233	0.16	0.068	0.039	0.017	0.003	0.002

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?
What is the probability that a randomly selected student changed his or her major exactly twice?
What is the mean number of times students changed majors?
What is the standard deviation of X?