Question

Suppose at a small college, 30% of the students are freshmen, and 60% of the students...

Suppose at a small college, 30% of the students are freshmen, and 60% of the students live on campus. Also, assume that living on campus is independent of the class of the student.

d. If three random students are selected, what is the probability that all three students live on campus? I don't know how to start. Thank you for you help in advance.

Math   Statistics-And-Probability   
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Answer #1

P[ Student live on the Campus ] = 60% = 0.60

Since the living on campus is independent of the class of the student

The probability will remain same in each selection of student

P[ probability that all three students live on campus ] = P[ Student live on the Campus ]*P[ Student live on the Campus ]*P[ Student live on the Campus ]

P[ probability that all three students live on campus ] = 0.6*0.6*0.6

P[ probability that all three students live on campus ] = 0.216

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