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The Daily Demand xx For a Certain Product (In Hundreds of Pounds) Is a of Pounds)

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The daily demand xx for a certain product (in hundreds of pounds) is a random variable with the probability density function f(x) =29x(3x) f ( x ) = \frac { 2 } { 9 } x ( 3 - x ) over the interval [0,3][ 0,3 ] . Find the probability that xx is within one standard deviation of the mean. Express your answer as a percent.


Definitions:

Schedule SE

The tax form used by self-employed individuals to calculate the taxes owed on net earnings from self-employment.

Deductible Expenses

Expenses that can be subtracted from gross income to reduce taxable income, including certain business, charitable, educational, and medical expenses.

Hobby

An activity done regularly in one's leisure time for pleasure, which might generate income that is treated differently for tax purposes than income earned from a business.

Income Connected

Relates to earnings or revenue that is directly related to a specific source or activity, often used in legal or tax contexts.

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