Question

StatTutor: Finite and discrete probability models 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 0 1 2 3 4 5 Probability 0.08 0.15 0.35 0.28 0.09 0.05 What is the probability a randomly selected family has at least three vehicles? answer to two decimal places:

Answer 1

0.42 = 42% probability a randomly selected family has at least three vehicles

Explanation:

We have the following information, from the probability distribution we are given:

0.08 = 8% probability that a randomly selected family has 0 vehicles.

0.15 = 15% probability that a randomly selected family has 1 vehicle.

0.35 = 35% probability that a randomly selected family has 2 vehicles.

0.28 = 28% probability that a randomly selected family has 3 vehicles.

0.09 = 9% probability that a randomly selected family has 4 vehicles.

0.05 = 5% probability that a randomly selected family has 5 vehicles.

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

3, 4 or 5.

0.28 + 0.09 + 0.05 = 0.42

0.42 = 42% probability a randomly selected family has at least three vehicles