From 10 men and 8 women in a pool of potential jurors, 12 people are chosen at random to constitute a jury. suppose that you observe the number of men who are chose for the jury. let a be the event that at least half of the 12 jurors are men and b be the event that at least half of the 8 women are on the jury.

(a) determine the sample space of this random experiment.

(b) find a b, a b, and a b? listing the outcomes for each of those three events.

(c) are a and b mutually exclusive? (explain your answer) (d) are a and b? mutually exclusive? (explain your answer)

(e) are a? and b? mutually exclusive? (explain your answer)