Question

A housing company builds houses with two-car garages. What percent of households have more cars than the garage can hold? (a) $13\%$

(b) $20\%$

(c) $45\%$

(d) $55\%$

(e) $80\%$

Short answer

The percent of households have more cars than the garage can hold is option (b)$20\%$.

Step-by-step solution

Given Information

The probability model if we ignore the few households that own more than $5$ cars.

Explanation

We must calculate the percentage of homes with more cars than the (two-car) garage can accommodate, which equals to$X>2$

Add the corresponding probabilities:

localid="1649915803257" $$\begin{gathered} P(X>2)=P(X=3)+P(X=4)+P(X=5) \\ =0.13+0.05+0.02 \\ =0.20 \\ =20\% \end{gathered}$$