Essay
In a large university, 75% of students live in the dormitories. A random sample of 5 students is selected.
a.Define the random variable in words for this experiment.
b.What is the probability that the sample contains exactly three students who live in the dormitories?
c.What is the probability that the sample contains no students who live in the dormitories?
d.What is the probability that the sample contains more than three students who do not live in the dormitories?
e.What is the expected number of students (in the sample) who do not live in the dormitories?
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