Find Expected Counts Based on the Historical Distribution, We Would Expect How Many

Multiple Choice

Find expected counts.
-A real estate agency, located in a metropolitan area in the northeastern U.S., kept data
On the various types of properties purchased in the area. Historically, 15% of purchases
Were for condominiums, 30% were for townhouses, 40% for single family homes, 10%
For commercial properties and 5% for land. With changing demographics, the agency
Wondered if the current distribution matches the historical distribution. Recent data
Showed the following: $$\begin{array} { l | c | c | c | c | c } \text { Type of Property } & \text { Condos } & \text { Townhouses } & \text { Homes } & \text { Commercial } & \text { Land } \\\hline \text { Frequency } & 89 & 121 & 78 & 25 & 12\end{array}$$
Based on the historical distribution, we would expect how many homes to be purchased?

A) 121
B) 122.54
C) 130
D) 129.95
E) 100