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In a Large University, 75% of Students Live in the Dormitories

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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?


Definitions:

Survey

A research method used to collect data from a predefined group of respondents by asking questions and analyzing their responses.

Cost of Living

The total amount of money needed to cover basic expenses such as housing, food, taxes, and healthcare in a specific place and time.

Residence Halls

These are living facilities within a college or university campus that provide housing to students.

Representative Sample

A subset of a population that accurately reflects the members of the entire population, used in statistical analysis for predicting and understanding broader trends.

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