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

question 53

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 + 96 = 188 minutes. What is the standard deviation of their total time?

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

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