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2. For the following sets of events determine if they are disjoint. If they are,

ID: 2922850 • Letter: 2

Question

2. For the following sets of events determine if they are disjoint. If they are, write disjoint. If they are not, write joint. a. A = a randomly selected physician at Bellevue being a surgeon, B = a randomly selected physician at Bellevue being female. b. A a randomly selected subject being a Democrat, B- a randomly selected subject being a Republican. c. A = a randomly selected movie being rated R, B a randomly selected movie having a rating of four stars. d. A - randomly selecting a college graduate, B-randomly selecting someone who is homeless. Intro Stats-K. Spoon

Explanation / Answer

Mutually Exclusive Events. Two events are mutually exclusive if they cannot occur at the same time. Another word that means mutually exclusive isdisjoint. If two events are disjoint, then the probability of them both occurring at the same time is 0.

a. A surgeon can be a female also so this event is not disjoint

b. Republican can't be democrat hence this event is disjoint

c. A rated movie can have four stars so not disjoint

d. College graduate can be homeless so not disjoint.

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