Question

A small city has three automobile dealershlps: a GM dealer selling Chevrolets and Buicks; a Ford dealer selling Fords and Lincolns; and a consists of observing the brand of the next car sold, then the events A (Chevrolet, Buick) and 8 (Ford, Lincoln) are mutually exclusive because the next car sold cannot be both a GM product and a Ford product (at least until the two companies mergel). (a) In the experiment, identify three events that are mutually exclusive. A-Chevrolet, Ford), B-{ Ford, Lincoln), C-《Toyota》 @ A-{ Ford. Buick), 8-(Chevrolet. Toyota), С-{Chevrolet) @ A " (Chevrolet, Toyota), B " {Buick, Ford), C-(ford) A -(Chevrolet, Buick), B (Ford, Lincoln), C (Toyota) A-(Toyota, Buick), 8 (Buick, Ford), C (Lincoln) s no outcome common to all three of the events A, B, and c. Are these three events necessarily mutually exclusive? If your answer is yes, explain why; it your answer is no, give a counterexample using 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. No, the events A (Chevrolet, Buick), B - (Buick, Ford), c - (Buick) are not mutually exclusive and there is no common outcome to all three events NO, the events A-Chevrolet, Buick), B . {Ford, Lincoln), C-(Toyota) are not mutually exclusive and there is no common outco f 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 mu tually exclusive and there is no common outcome to all three events.

Answer 1