Chapter 4

# Chapter 4 - 1 Pg 171 Question#2 p(1 = 1/36 p(2 = 2/36 p(3 =...

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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

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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

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