Consider the results of a recent survey of 600 randomly selected Mason students

Question

Consider the results of a recent survey of 600 randomly selected Mason students Status Study where Study inStudy in Total they are living the the Library Johnson Center 100 80 260 Resident UG Commuting UG Total 80 160 120 60 340 260 200 140 600 a. What is the probability that a student studies in the Library? b. What is the probability that a student is a resident UG student? c. If the student is a commuting UG student, what is the probability that the student studies in the Johnson Center? d. If the student is a resident UG student, what is the probability that they study in either the Library or the Johnson Center? e. Is where the student studies independent of where they live? Use a formula to justify your ans

Explanation / Answer

a) P( Study in library) = 200/600 = 0.333

b) P( UG Student) = 260/600 = 0.433

c) P( study in Johnson Center/ Commuting UG) = 60/340 = 0.1765

d) P( library or Johnson Center/ Resident UG) = 160/260 = 0.615

e) No, they are not dependent  

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