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Unformatted text preview: 1 Pg. 171 Question #2: p(1) = 1/36; p(5) = 2/36; p(9) = 1/36; p(15) = 2/36; p(24) = 2/36; p(2) = 2/36; p(6) = 4/36; p(10) = 2/36; p(16) = 1/36; p(25) = 1/36; p(3) = 2/36; p(7) = 0; p(11) = 0; p(18) = 2/36; p(30) = 2/36; p(4) = 3/36; p(8) = 2/36; p(12) = 4/36; p(20) = 2/36; p(36) = 1/36; #4: 2 Pg. 171 Question #7: a) X = {1, 2, 3, 4, 5, 6} b) X = {1, 2, 3, 4, 5, 6} c) X = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} d) X = {5,4,3,2,1,0,1,2,3,4,5} 3 4 5 #13: 6 7 8 #14: 9 #17: 10 #19: 11 #21: 12 Pg. 173 Question #21: a) E[X] is larger. This is since the bus driver selected is equally likely to be from any of the 4 buses, the student selected is more likely to have come from a bus carrying a large number of students. b) P{X = i} = 148 i , i = 40, 33, 25, 50 E[X] = [(40) 2 + (33) 2 + (25) 2 + (50) 2 ]/148 ≈ 39.28 E[Y] = [40 + 33 + 25 + 50] / 4 = 37 13 14 15 #23: 16 17 18 #30: 19 20 #32: 21 22 #37: 23 #28: #41: 24 Pg. 176 Question #45: Case 1: Having 3 examiners P{passing} =...
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This note was uploaded on 04/01/2008 for the course MATH 425 taught by Professor Buckingham during the Winter '08 term at University of Michigan.
 Winter '08
 Buckingham
 Probability

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