Question

A real estate agent counted the number of orces per floor in the building she is selling Number of offices Number of foors 5 1 19 5 41 1 67 1 24 4 81 3 I is the number of offices that a randomly chosen floor has. What is the expected value of X? Write your answer as a decimal.

Answer 1

In order to calculate the expected value of offices per flor we need to calculate the weighted average of offices per floor. This is done by using the expression below:

$\begin{gathered} \text{ expected value = }\frac{5\cdot4+19\cdot5+60\cdot4+66\cdot1+67\cdot4+74\cdot4+81\cdot3}{4+5+4+1+4+4+3} \\ \text{expected value = }\frac{20+95+240+66+268+296+243}{25}=\frac{1228}{25}=49.12 \end{gathered}$

The expected values of offices per floor is 49.12