MATH 425 Midterm: Midterm 1 Solutions

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31 Jan 2019
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Math/stats 425 (instructor: edward ionides: in a group of students, 70% are democrat and 30% republican. Of the democrats, 60% support introduction of a ban on assault ri es. 30% of the republicans are in favor of such a ban. If a randomly selected student opposes a ban, what is the chance that the student is. Solution: let r = {student is republican} and s = {student supports a ban}. P(s c | r)p(r) + p(s c | rc)p(rc) Solution: s = {5 card poker hands}, e = {hand is worth a pair}. 5(cid:1) (b) find an expression for the chance that the hand contains two pairs (i. e. , two cards of one rank, two of another rank and a fth card of yet another rank). Solution: selecting ranks for the two pairs, followed by suits for each pair, followed by a rank and suit for the remaining card, we get.