In Holland, 30% of the people own a car. If five adults are randomly selected, what is the probability that no more than two own a car?
A) 37.2% probability that more than two own a car.
B) 30.9% probability that more than two own a car.
C) 66.8% probability that no more than two own a car.
D) 83.7% probability that no more than two own a car.

Question

Quizplus · Accepted Answer

The probability of no more than two people owning a car is the sum of the probabilities of 0, 1, and 2 people owning a car. The probability of 0 people owning a car is (0.7)^5 = 0.16807. The probability of 1 person owning a car is 5 * (0.3) * (0.7)^4 = 0.33614. The probability of 2 people owning a car is 10 * (0.3)^2 * (0.7)^3 = 0.16807. The sum of these probabilities is 0.16807 + 0.33614 + 0.16807 = 0.67228, which is 67.228% or approximately 66.8%.

In Holland, 30% of the People Own a Car