Question

1. the random variable x represents the number of cars per household in a town of 1000 households. find the probability of randomly selecting a household that has less than two cars.

cars | households
0 | 125
1 | 428
2 | 256
3 | 108
4 | 83

Explanation:

Step1: Identify relevant households

Households with less than 2 cars are those with 0 or 1 car.
Households with 0 cars: 125; Households with 1 car: 428.

Step2: Calculate total relevant households

Total = 125 + 428 = 553.

Step3: Calculate probability

Probability = $\frac{\text{Relevant Households}}{\text{Total Households}}$ = $\frac{553}{1000}$ = 0.553.

Answer:

0.553