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

question 132

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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Definitions:

Irreparable

Impossible to repair, fix, or make right; typically used to describe damage or harm that is permanent or beyond restoration.

Aggravated Assault

An enhanced form of assault involving factors that raise the crime's severity, such as the use of a deadly weapon or intent to do serious harm.

Felony

A serious crime, usually punishable by imprisonment for more than one year or by death.

Misdemeanor

A criminal offense that is less serious than a felony and generally punishable by fines, sanctions, or imprisonment for less than one year.