QUESTION IMAGE
Question
presented is a probability distribution for the number of motor vehicles: cars, trucks, or motorcycles owned by a random family. because almost no families own more than five, we will combine any families with more than five with that value.
\begin{tabular}{|c|c|} hline vehicles & probability \\ hline 0 & 0.08 \\ hline 1 & 0.15 \\ hline 2 & 0.35 \\ hline 3 & 0.28 \\ hline 4 & 0.09 \\ hline 5 & 0.05 \\ hline end{tabular}
what is the probability a randomly selected family has more than three vehicles?
answer to two decimal places:
Step1: Identify relevant probabilities
"More than three" means 4 or 5 vehicles. So we need the probabilities for 4 and 5 vehicles. From the table, \( P(4) = 0.09 \) and \( P(5) = 0.05 \).
Step2: Sum the probabilities
To find the probability of more than three vehicles, we sum \( P(4) \) and \( P(5) \). So \( 0.09 + 0.05 = 0.14 \).
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0.14