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Mathematics, 21.01.2021 23:00 zitterkoph

A school class of 120 students is driven to a symphonic concert on one of three buses. There are 34 students on one bus, 42 on another, and 44 on the third bus. When the buses arrives, one of the 120 students is randomly chosen. Let X denote the number of students on the bus of the randomly chosen student, and nd E[X]. Required:
a. What is the state space of X?
b. What is the probability mass function associated with X?
c. What is the expected value of X: E[X]?

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