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The Expected Value,E(X),of a Binomial Probability Distribution with N Trials

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The expected value,E(X) ,of a binomial probability distribution with n trials and probability p of success is:


Definitions:

Sensitivity

The ability of a test or system to correctly identify those with a condition, reflecting how well it detects true positives.

Satisficed

Made a decision that is satisfactory and sufficient, stemming from the combination of "satisfy" and "suffice."

Optimal Choice

The best possible selection among various alternatives based on specific criteria or conditions.

Utility Theory

A theory in economics and finance that models how individuals choose among alternatives to maximize their satisfaction or utility.

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