Some Marathons Allow Two Runners to "Split" the Marathon by Each

question 236

Multiple Choice

Some marathons allow two runners to "split" the marathon by each running a half marathon. Alice
And Sharon plan to split a marathon. Alice's half-marathon times average 92 minutes with a
Standard deviation of 4 minutes, and Sharon's half-marathon times average 96 minutes with a standard deviation of 2 minutes. Assume that the women's half-marathon times are independent.
The expected time for Alice and Sharon to complete a full marathon is 92 $$92 + 96 = 188$$
8 minutes. What
Is the standard deviation of
Their total time?

• A) 20 minutes
• B) 6 minutes
• C) 4.5 minutes
• D) It cannot be determined.
• E) 2 minutes

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Definitions:

Marginal Social Cost

Marginal social cost is the total cost to society of producing an additional unit of a good, including both private costs and any external costs.

External Costs

Costs incurred as a result of an economic activity that are not borne by the entities undertaking the activity but rather by other parties or society at large.

Marginal Cost

The rise in expense associated with the production of an extra unit of a product or service.

Benefits To Consumers

Refers to the advantages or improvements in well-being and satisfaction that consumers experience from purchasing and using goods and services.