According to the National Center for Education Statistics (NCES), nearly 20% of the bachelor's degrees awarded in 2019 were business degrees.† Suppose that 21% 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 61.4% 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 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. 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 a student who studies business can also commute to campus.
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21. The probability that a student lives on campus is 59% (100% - 41% who commute) or 0.59. The probability that a student is either a business student or lives on campus is 61.4% or 0.614. We can use the formula for the probability of the union of two events: Show more…
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