Question

The advertising agency counted the number of billboards in each city in the state. Number of billboards Number of cities 63 6 65 4 73 1 113 2 126 5 148 2 X is the number of billboards that a randomly chosen city has. What is the expected value of X? Write your answer as a decimal.

Answer 1

In order to calculate the expected value of x, we can divide the total number of billboards by the total number of cities:

`\begin{gathered} E(x)=(63\cdot6+65\cdot4+73\cdot1+113\cdot2+126\cdot5+148\cdot2)/(20) \\ E(x)=(1863)/(20) \\ E(x)=93.15 \end{gathered}`

So the expected value of x is 93.15.