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The Chairman of a Statistics Department in a Certain College π\pi

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The chairman of a statistics department in a certain college believes that 70% of the department's graduate assistantships are given to international students.A random sample of 50 graduate assistants is taken.Assume that the chairman is correct and that π\pi
= 0.70.What is the probability that the sample proportion p will be between 0.65 and 0.73?


Definitions:

Wavelengths

The distance between successive crests of a wave, typically used in the context of electromagnetic waves, sound waves, or other types of waves in physics.

Receptor Cells

Specialized cells in the body that convert external stimuli into electrical signals for the nervous system to process.

Cones

Retinal receptor cells that are concentrated near the center of the retina and that function in daylight or in well-lit conditions. The cones detect fine detail and give rise to color sensations.

Periphery

The external boundary or surface of an area or object, or those areas that lie beyond the central or main part.

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