1. Which of the following probabilities are feasible for an experiment having sample space {s1, s2, s3}? Explain your answer.
(a) Pr (s1) = .4, Pr (s2) = .4, Pr (s3) = .4
(b) Pr (s1) = .5, Pr (s2) = .7, Pr (s3) = -.2
(c) Pr (s1) = 1/5, Pr (s2) = 2/5, Pr (s3) = 1/5
2. Which of the following probabilities are feasible for an experiment having sample space {s1, s2, s3}? Explain your answer.
(a) Pr (s1) = .25, Pr (s2) = .25, Pr (s3) = .4
(b) Pr (s1) = .7, Pr (s2) = .8, Pr (s3) = -.5
(c) Pr (s1) = .2, Pr (s2) = .3, Pr (s3) = 1