Question

A small city has three automobile dealerships: a GM dealer selling Chevrolets and consists of observing the brand of the next car sold, then the events A (Chevrolet, Bukk and B (Ford, Lincoln be both a GM product and a Ford product (at least until the two companies merge!) : a Ford dealer selling Fords and Lincolns; and a Toyota dealer. If an experiment are mutually exclusive because the next car sold cannot (a) In the experiment, identify three events that are mutually exclusive. A-(Chevrolet, Ford), B-Ford, Lincoln), Cr(Toyota) @ A-{Ford. Buick), B-(Chevrolet. Toyota), C = {Chevrolet) 0 A-(Chevrolet, Toyota), B-{Buick, Ford), Cr(Ford) A-(Chevrolet, Buick), B-{ Ford, Lincoln), C-(Toyota} A " {Toyota, Buick), B-(Buick, Ford), Cr(Lincoln) Suppose there is rootcome common to a" three of the events ^ B and C Are these three events necessarily mutually exclusive? f your answer is yes, ex your answer is no, give a counterexample b) ain why: the experiment above. Yes, if there is no outcome common to all three events then the three events don't all overlap. So, the events must be mutually exclusive ho, the events A-(Chevrolet, Buick). No, the events A- Chevrolet, Buick), B-(Fed, Lincoln), c-(Toyota) are not mutually exclusive and there is no common outcome to all three events. Yes, if there is no outcome common to all three events then no outcome can be repeated in more than one event. So, the events must be mutually exclusive. No, the events A-(Chevrolet, Buick, B-(Buick, Ford), C-(Toyota) are not mutually exclusive and there is no common outcome to all three events. ● Buick, Ford C- Buick) are not mutually exclusive and there is no common outcome to all three events.

Answer 1