Question

a real estate agent counted the number of offices per floor in the building he is selling. x is the number of offices that a randomly chosen floor has. what is the expected value of x? write your answer as a decimal.

Explanation:

Step1: Calculate the total number of floors

The total number of floors is \(3 + 3+1 + 3=10\) floors.

Step2: Calculate the weighted sum

The weighted sum is \((10\times3)+(11\times3)+(63\times1)+(64\times3)\).

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Step3: Calculate the expected value

The expected value \(E(X)=\frac{\text{weighted sum}}{\text{total number of floors}}\), so \(E(X)=\frac{318}{10}=31.8\)

Answer:

\(31.8\)