Question

ASWSBE15 4.E.027. According to the National Center for Education Statistics (NCES), nearly 20% of the bachelor's degrees awarded in 2019 were business degrees. Suppose that 27% of students at Mideastern University study business. Students at Mideastern University either live on campus or commute to campus. It is known that 41% of students commute to campus at Mideastern University and 61.7% of students are either business students or live on campus. (a) What is the probability that a randomly selected student at Mideastern University lives on campus? (b) What is the probability that a randomly selected student at Mideastern University studies business and lives on campus? (c) Is it true that a student studying business and a student commuting to campus at Mideastern University are mutually exclusive events? Explain. These are not mutually exclusive events since a student who studies business cannot also commute to campus.These are not mutually exclusive events since a student who studies business can also commute to campus. These are mutually exclusive events, since whether or not a student studies business does affect the probability that student commutes to campus.These are not mutually exclusive events, since whether or not a student studies business does not affect the probability that student commutes to campus.These are mutually exclusive events since a student who studies business cannot also commute to campus.

          ASWSBE15 4.E.027.
According to the National Center for Education Statistics (NCES), nearly 20% of the bachelor's degrees awarded in 2019 were business degrees. Suppose that 27% of students at Mideastern University study business. Students at Mideastern University either live on campus or commute to campus. It is known that 41% of students commute to campus at Mideastern University and 61.7% of students are either business students or live on campus.
(a)
What is the probability that a randomly selected student at Mideastern University lives on campus?
(b)
What is the probability that a randomly selected student at Mideastern University studies business and lives on campus?
(c)
Is it true that a student studying business and a student commuting to campus at Mideastern University are mutually exclusive events? Explain.
These are not mutually exclusive events since a student who studies business cannot also commute to campus.These are not mutually exclusive events since a student who studies business can also commute to campus. These are mutually exclusive events, since whether or not a student studies business does affect the probability that student commutes to campus.These are not mutually exclusive events, since whether or not a student studies business does not affect the probability that student commutes to campus.These are mutually exclusive events since a student who studies business cannot also commute to campus.

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