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 μV.

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

Answer

Step 1 of 3</p>

Given total voltage V=V1+V2

Here they gave mean and standard deviations of V1 and V2

We need to find the mean and standard deviations of V

Mean of V1 =E(V1)

=12 V

Standard deviation of V1=

= 1 V

Mean of V2 =E(V2)

=6 V

Standard deviation of V2=

= 0.5 V

Step 1 of 3</p>

a) =E(V1)+E(V2)

=12 V+6 V

=18 V