Question: Two batteries, with voltages V 1 and V 2 , are connected in series. The total voltage V is given by V = V 1

Two batteries, with voltages V₁ and V₂, are connected in series. The total voltage V is given by V = V₁+V₂. Assume that V₁ has mean 12 V and standard deviation 1 V, and that V₂ has mean 6 V and standard deviation 0.5 V.

a. Find μ_V.

b. Assuming V₁ and V₂ to be independent, find σ_V.

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