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 into that value.

vehicles	probability
1	0.15
2	0.35
3	0.28
4	0.09
5	0.05

what is the probability a randomly selected family has at least three vehicles?

answer to two decimal places:

Explanation:

Step1: Identify relevant probabilities

"At least three" means 3, 4, or 5 vehicles. Their probabilities are 0.28 (3), 0.09 (4), 0.05 (5).

Step2: Sum the probabilities

Add the probabilities: \( 0.28 + 0.09 + 0.05 \)
\( 0.28 + 0.09 = 0.37 \); \( 0.37 + 0.05 = 0.42 \)

Answer:

0.42