Question: Some marathons allow two runners to split the marathon be each running a half marathon, Alice and sharon plan to split a marathon, Alice's half-marathon

Some marathons allow two runners to split the marathon be 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, Sharon's half-marathon times average 96 minutes with a standard deviation of 2 minutes. Assume that the women's times are independent. The expected time for Alice and Sharon to finish full marathon is 92+96=188 minutes. What is the standard deviation of their total time?

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