In a Large University, 20% of the Students Are Business

question 38

Short Answer

In a large university, 20% of the students are business majors. A random sample of 100 students is selected, and their majors are recorded.
a.Compute the standard error of the proportion.
b.What is the probability that the sample contains at least 12 business majors?
c.What is the probability that the sample contains less than 15 business majors?
d.What is the probability that the sample contains between 12 and 14 business majors?

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Definitions:

Pineal Gland

A small endocrine gland in the brain that produces the hormone melatonin, regulating sleep patterns.

Hypothalamus

A region of the brain responsible for controlling many autonomic functions such as temperature regulation, hunger, and thirst, as well as linking the nervous and endocrine systems.

Mammillary Bodies

Small rounded bodies at the base of the brain, part of the limbic system, involved in memory formation and recollection.

Hypothalamic Function

The roles performed by the hypothalamus, which include regulating temperature, thirst, hunger, sleep, circadian rhythm, and releasing hormones.