Based the density function of the observed outcome, the probability 
is equal to 0.1388.
<h3>What is a density function?</h3>
A density function can be defined as a type of function which is used to represent the density of a continuous random variable that lies within a specific range.
Given the following density function:
Next, we would calculate ;
![P(x\leq \frac{1}{3} )=\int\limits^\frac{1}{3} _0 {f(x)} \, dx \\\\P(x\leq \frac{1}{3} )=2 \int\limits^\frac{1}{3} _0 {(1-x)} \, dx \\\\P(x\leq \frac{1}{3} )=2|x-\frac{x^2}{2} |\limits^\frac{1}{3} _0\\\\P(x\leq \frac{1}{3} )=2[\frac{1}{3} -\frac{1}{2} (\frac{1}{3})^2]\\\\P(x\leq \frac{1}{3} )=2[\frac{1}{3} -\frac{1}{18}]\\\\P(x\leq \frac{1}{3} )=0.1388](https://tex.z-dn.net/?f=P%28x%5Cleq%20%5Cfrac%7B1%7D%7B3%7D%20%29%3D%5Cint%5Climits%5E%5Cfrac%7B1%7D%7B3%7D%20_0%20%7Bf%28x%29%7D%20%5C%2C%20dx%20%5C%5C%5C%5CP%28x%5Cleq%20%5Cfrac%7B1%7D%7B3%7D%20%29%3D2%20%5Cint%5Climits%5E%5Cfrac%7B1%7D%7B3%7D%20_0%20%7B%281-x%29%7D%20%5C%2C%20dx%20%5C%5C%5C%5CP%28x%5Cleq%20%5Cfrac%7B1%7D%7B3%7D%20%29%3D2%7Cx-%5Cfrac%7Bx%5E2%7D%7B2%7D%20%7C%5Climits%5E%5Cfrac%7B1%7D%7B3%7D%20_0%5C%5C%5C%5CP%28x%5Cleq%20%5Cfrac%7B1%7D%7B3%7D%20%29%3D2%5B%5Cfrac%7B1%7D%7B3%7D%20-%5Cfrac%7B1%7D%7B2%7D%20%28%5Cfrac%7B1%7D%7B3%7D%29%5E2%5D%5C%5C%5C%5CP%28x%5Cleq%20%5Cfrac%7B1%7D%7B3%7D%20%29%3D2%5B%5Cfrac%7B1%7D%7B3%7D%20-%5Cfrac%7B1%7D%7B18%7D%5D%5C%5C%5C%5CP%28x%5Cleq%20%5Cfrac%7B1%7D%7B3%7D%20%29%3D0.1388)
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The accurate statement about the Securities and Exchange Commission is:
- <u>C. It is an independent agency that regulates finance</u>
<u />
The Securities and Exchange Commission is a government agency that is in charge with protecting the financial interests of the country and making sure that the economy is stable.
Some of the common misconceptions about the SEC are that:
- They can convict people of crimes without a trial
- They are a part of the government’s cabinet department.
- It is associated with the legislative branch.
However, these are all wrong because their activities are totally independent and they regulate finance.
Therefore, the correct answer is option C
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Using the performance planner on a monthly basis allows one to optimize two aspects of an account, which are bid and budget.
<h3>What is a performance planner?</h3>
The performance planner is a tool which helps to obtain the best bids and mean monthly budget around all the campaigns.
The objective of a performance planner are:
- Enhance the conversation number to achieve any upcoming spend premise.
- Helps to obtain the best bids and mean monthly budget.
- Provide the chance to get the benefit of seasonality opportunities.
- Provides new possibilities to enhance the sales through ad and campaigns.
Hence, using the performance planner on a monthly basis allows one to optimize two aspects of an account, which are bid and budget.
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Any numbers to work with?
The amount of money paid into a company by its owners is referred to as the invested capital.
<h3>What is the invested capital?</h3>
The expression 'invested capital' makes reference to the physical resources (generally cash) that is provided to a company for its development/growth.
The invested capital is a fundamental issue for the success of a company or organization, especially in the early stages of development.
The invested capital of a given company can be mathematically estimated by adding assets and subtracting liabilities, which in the economy field is known as a balance sheet.
In conclusion, the amount of money paid into a company by its owners is referred to as the invested capital.
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