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

question 68

Short Answer

In a large university, 75% of students live in dormitories. A random sample of 5 students is selected. Use the binomial probability tables to answer the following questions.
a.What is the probability that the sample contains exactly three students who live in the dormitories?
b.What is the probability that the sample contains no students who lives in the dormitories?
c.What is the probability that the sample contains more than three students who do not live in the dormitories?
d.What is the expected number of students (in the sample) who do not live in the dormitories?

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Definitions:

Neurotic Paradox

The phenomenon where a person continues to engage in behaviors or patterns that are self-defeating or damaging, despite knowing the negative consequences.

Avoidance Behaviors

Actions taken to evade facing or dealing with stressful or anxiety-inducing situations, often worsening the condition over time.

Test Anxiety

Excessive stress and fear related to taking exams, which can impair an individual's ability to perform well on the test.

Operant Conditioning

A learning process through which the strength of a behavior is modified by reinforcement or punishment.