T. A consumer organization estimates that over a 1year period a car has 15% chance that it need to be repaired once, TEE71:. chance that it needs repairs exactly twice, and 1% chance that it requires three or more repairs. [a] What is the probability that a car chosen at random will need (i) no repairs? [ii]: no more than one repair? {iii} more than or equal to one repair? {b} If two cars are chosen at random, what is the probability that (i) neither will need repair? {ii} both will need repair? {iii} at least one car will need repair? 8. [Independence and Mutually Exclusiveness} Two different hooks {called Q1 and Q2] are randomly distributed into three boxes. There is no restriction on the number of books that can be placed in each box. [a] Let A be the event that box 1 or box 2 is empty [including the possibility that both are empty}. Find the probability of A. [b] Let B be the event that book Q1 is placed in Box 1. Let U be the event that the two books are in the same box. Are B and 0 independent? Are B and U mutually exclusive? Explain. [e] Let D be the event that both Box 1 and Box 2 are empty. Are B and D independent? Are B and D mutually exclusive? Explain