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Find the Coefficient of the Term Containing A 4 (ax)16( \sqrt { a } - \sqrt { x } ) ^ { 16 }

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Find the coefficient of the term containing a 4 in the expansion of (ax) 16( \sqrt { a } - \sqrt { x } ) ^ { 16 } .


Definitions:

Null Hypothesis

In testing, it is the presumption that no effect or no difference exists in the population, serving as the hypothesis that is formally tested.

P-value

A measure in statistical hypothesis testing that helps in determining the significance of results, indicating the probability of observing the data if the null hypothesis is true.

Simple Random Sample

A sample drawn in such a way that every member of the population has an equal chance of being selected.

Degrees Of Freedom

The number of independent values or quantities which can be assigned to a statistical distribution, often related to the number of values in the final calculation of a statistic that are free to vary.

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