To answer these probability questions based on the table, we need to calculate the probabilities using the provided data.
A. To find the probability that the total repair costs were less than $10,000 for cars with a purchase price less than $20,000, we need to find the number of cars in that specific category, and divide it by the total number of cars.
From the table, we can see that there are 18 cars with a purchase price less than $20,000, whose total repair costs are less than $10,000. The total number of cars in the less than $20,000 category is 54.
So, the probability can be calculated as:
Probability = Number of cars (purchase price < $20,000 & repair costs < $10,000) / Total number of cars (purchase price < $20,000)
Probability = 18 / 54 = 1/3 = 0.333 (rounded to the nearest hundredth)
Therefore, the probability that the total repair costs were less than $10,000 for cars with a purchase price less than $20,000 is about 0.33 or 33%.
B. To find the probability that the purchase price was more than $40,000 for cars with total repair costs less than $10,000, we need to find the number of cars in that specific category and divide it by the total number of cars.
From the table, we can see that there are 30 cars with total repair costs less than $10,000, whose purchase price is more than $40,000. The total number of cars with total repair costs less than $10,000 is 90.
So, the probability can be calculated as:
Probability = Number of cars (repair costs < $10,000 & purchase price > $40,000) / Total number of cars (repair costs < $10,000)
Probability = 30 / 90 = 1/3 = 0.333 (rounded to the nearest hundredth)
Therefore, the probability that the purchase price was more than $40,000 for cars with total repair costs less than $10,000 is about 0.33 or 33%.