If Random Variable X Is Distributed According to a Uniform

question 23

Multiple Choice

If random variable X is distributed according to a uniform distribution between 0 and 1 (X ~ U[0, 1]) , and you take a random sample of size 35, what is the probability that the sample mean will fall between 0.48 and 0.55?

• A)0.98
• B)0.51
• C)0.76
• D)0.27
• E)0.07

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Definitions:

Nineteenth Century

The period from 1801 to 1900, characterized by widespread industrialization, political change, and colonial expansion.

Expansionist

Pertaining to the policy of a state or organization aimed at increasing its size, influence, or territories.

Isolationist

A policy or doctrine that advocates for a country to remain apart from the affairs or interests of other groups or countries.

Executive Branch

One of the three branches of government, tasked with enforcing laws, it is headed by the President of the United States and includes the Cabinet and executive departments.