Find the Value of a Normal Random Variable
-A Physical $386 \mathrm { sec }$

question 22

Multiple Choice

Find the Value of a Normal Random Variable
-A physical fitness association is including the mile run in its secondary-school fitness test. The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 450 seconds and a standard deviation of 50 seconds. The fitness association wants to recognize the fastest 10% of the boys with certificates of recognition. What time would the boys need to beat in order to earn a certificate of recognition from the fitness association

• A) \(386 \mathrm { sec }\)
• B) \(514 \mathrm { sec }\)
• C) \(532.25 \mathrm { sec }\)
• D) \(367.75 \mathrm { sec }\)

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Definitions:

Contribution Margin Ratio

The contribution margin ratio is the percentage of revenue that exceeds total variable costs, indicating how much of the sales revenue is available to cover fixed costs and generate profit.

Sales Dollars

The total revenue generated from the sale of goods or services, expressed in monetary units.

After Tax Profit

The net income a company retains after deducting all taxes owed to the government.

Income Tax Rate

The percentage of an individual or corporation's income that is paid to the government as tax.