Which Equation Shown Is Correct for a Normal Distribution with a Mean

question 43

Multiple Choice

Which equation shown is correct for a normal distribution with a mean of 20 and a variance of 10?

• A) \(f(x)=\frac{1}{\sqrt{20 \pi}} e^{\frac{-(x-10)^{2}}{200}}\)
• B) \(f(x)=\frac{1}{\sqrt{20 \pi}} e^{\frac{-(x-20)^{2}}{200}}\)
• C) \(f(x)=\frac{1}{\sqrt{200 \pi}} e^{\frac{-(x-10)^{2}}{32}}\)
• D) \(f(x)=\frac{1}{\sqrt{200} \pi} e^{\frac{-(x-20)^{2}}{32}}\)

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Definitions:

Firm

An entity like a corporation, partnership, or sole proprietorship engaged in selling goods or services for financial gain.

Price

The sum of money needed to buy a product, service, or asset.

Long Run

A period in which all factors of production and costs are variable, allowing firms to adjust to changes in the market or economic conditions.

Demand

The quantity of a product or service that consumers are willing and able to buy at various prices during a specified period of time.