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:

Carbon Dioxide

A colorless, odorless gas produced by burning carbon and organic compounds and by respiration. It is naturally present in the air and absorbed by plants in photosynthesis.

Alveoli

Tiny air sacs within the lungs where gas exchange between the air and blood occurs, essential for breathing and oxygenation of blood.

Tissue Cells

Cells that are organized together to perform a specific function, making up the tissue of organisms.

Expired Air

The air that is exhaled out of the lungs, typically containing lower oxygen and higher carbon dioxide levels than inhaled air.