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Let F Be the Event That a Student Is Enrolled

question 55

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Let F be the event that a student is enrolled in a finance course, and let S be the event that a student is enrolled in a statistics course.It is known that 40% of all students are enrolled in a finance course and 35% of all students are enrolled in statistics.Included in these numbers are 15% who are enrolled in both statistics and finance.A student is randomly selected, what is the probability that the student is enrolled in either finance or statistics or both?


Definitions:

Alpha

A measure of the active return on an investment, indicating the performance of that investment compared to a benchmark index.

Single-Index Structure

An investment model that relates the returns on a stock to the returns on a common market index using a linear relationship.

Expected Returns

The anticipated profit or loss from an investment over a specific period, based on historical or projected performance.

Sensitivity Coefficients

Numbers that measure how much a dependent variable changes when an independent variable changes by one unit, often used in financial models to gauge risk.

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