Twenty-Five Percent of the Employees of a Large Company Are

question 97

Essay

Twenty-five percent of the employees of a large company are minorities. A random sample of 7 employees is selected.
a. Define the random variable in words for this experiment.
b. What is the probability that the sample contains exactly 4 minorities?
c. What is the probability that the sample contains fewer than 2 minorities?
d. What is the probability that the sample contains exactly 1 non-minority?
e. What is the expected number of minorities in the sample?
f. What is the variance of the minorities?

---

Definitions:

Probable Cause

A standard of reasonable belief, based on facts, that is required to arrest a person, conduct a search, or seize property in legal proceedings.

Arrest Warrant

A legal document issued by a judge or magistrate which authorizes the police to arrest and detain an individual suspected of a crime.

Law Enforcement Agent

An individual authorized to enforce laws and maintain public order, including police officers, sheriffs, and federal agents.

Racketeer Influenced

Pertains to activities or operations that are influenced or controlled by individuals involved in organized crime, often leading to illegal business practices.