A consumer organization estimates that over a 1-year period 17% of cars will need to be repaired
Question:
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.Repair needs for the two cars must be disjoint.
B.The consumer organization must have sampled all of the cars in the car owner's country when calculating the given percentages.
C.The probability of repair needs for each car must be between 0 and 1 inclusive and the two probabilities must sum to 1.
D.Repair needs for the two cars must be independent.
b) Is that assumption reasonable? Explain. Choose the correct answer below.
A.No, because the sum of the probabilities of repair needs for each car may exceed 1.
B.No, because repairing one car does not mean the other car will not need repairs.
C.Yes, because both cars needing repairs represents a probability of 1.
D.No, because the owner of the cars may treat both cars similarly.
E.Yes, because reputable consumer organizations follow proper sampling techniques.
F.Yes, because selecting one car guarantees that selecting the other car cannot happen.
G.No, because it is generally impossible to sample an entire population.
Stats Data and Models
ISBN: 978-0321986498
4th edition
Authors: Richard D. De Veaux, Paul D. Velleman, David E. Bock