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A Machine Is Set to Pump Cleanser into a Process

question 6

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A machine is set to pump cleanser into a process at the rate of 9 gallons per minute. Upon inspection, it is learned that the machine actually pumps cleanser at a rate described by the uniform distribution over the interval 8.5 to 11.5 gallons per minute. Find the probability that between 9.0 gallons and 10.0 gallons are pumped during a randomly selected minute.


Definitions:

Accounting Equation

The foundation of double-entry bookkeeping, stating that assets are equal to the sum of liabilities and owner's equity: Assets = Liabilities + Owner's Equity.

Owner's Equity

The residual interest in the assets of the entity after deducting liabilities, representing what the owners or shareholders own outright in the company.

Liabilities

Financial obligations a company owes to outside parties.

Assets

Resources owned by a business which are expected to provide future economic benefits, such as cash, inventory, property, and equipment.

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