A consumer organization estimates that over a 1-year period 17% of cars will need to be repaired only once, 7% will need repairs exactly twice, and 4% will require three or more repairs. Suppose someone wanted to find certain probabilities regarding the number of repairs needed for the two cars they own. They use the Multiplication Rule to calculate these probabilities. Complete parts a) and b) below:
a) What must be true about their cars in order to make that approach valid?
A. The probability of repair needs for each car must be between 0 and 1 inclusive and the two probabilities must sum to 1.
B. Repair needs for the two cars must be independent.
C. The consumer organization must have sampled all of the cars in the car owner's country when calculating the given percentages.
D. Repair needs for the two cars must be disjoint.

b) Is that assumption reasonable? Explain. Choose the correct answer below.A. Yes, because selecting one car guarantees that selecting the other car cannot happen.B. No, because repairing one car does not mean the other car will not need repairs.C. No, because it is generally impossible to sample an entire population.D. Yes, because both cars needing repairs represents a probability of 1.E. Yes, because there are probably a sufficiently large number of cars in the car owner's country that randomly selecting two cars can be considered two independent events.F. No, because the sum of the probabilities of repair needs for each car may exceed 1.G. No, because the owner of the cars may treat both cars similarly.H. Yes, because reputable consumer organizations follow proper sampling techniques.

Given that a consumer organization estimates that over a 1-year period 17% of cars will need to be repaired only once, 7% will need repairs exactly twice, and 4% will require three or more repairs.

Suppose someone wanted to find certain probabilities regarding the number of repairs needed for the two cars they own.

When they use multiplication rule, it should be ensured that two events are independent of the other.

a) Hence correct option is

It must be true about their cars in order to make that approach valid is

B. Repair needs for the two cars must be independent.

b) That assumption is not reasonable because

B. No, because repairing one car does not mean the other car will not need repairs