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ID Salary Compa Midpoint Age Performance Rating Service Gender Raise Degree Gend

ID: 3219625 • Letter: I

Question

ID Salary Compa Midpoint Age Performance Rating Service Gender Raise Degree Gender1 Gr 1 63.9 1.121 57 34 85 8 0 5.7 0 M E 2 27.7 0.892 31 52 80 7 0 3.9 0 M B 3 34.3 1.105 31 30 75 5 1 3.6 1 F B 4 57.6 1.010 57 42 100 16 0 5.5 1 M E 5 47.4 0.987 48 36 90 16 0 5.7 1 M D 6 75.2 1.122 67 36 70 12 0 4.5 1 M F 7 41.9 1.048 40 32 100 8 1 5.7 1 F C 8 23.4 1.018 23 32 90 9 1 5.8 1 F A 9 74 1.105 67 49 100 10 0 4 1 M F 10 24.2 1.054 23 30 80 7 1 4.7 1 F A 11 23.7 1.032 23 41 100 19 1 4.8 1 F A 12 58.3 1.022 57 52 95 22 0 4.5 0 M E 13 41.4 1.034 40 30 100 2 1 4.7 0 F C 14 23.7 1.030 23 32 90 12 1 6 1 F A 15 23 1.001 23 32 80 8 1 4.9 1 F A 16 41.5 1.037 40 44 90 4 0 5.7 0 M C 17 63.6 1.115 57 27 55 3 1 3 1 F E 18 34.3 1.107 31 31 80 11 1 5.6 0 F B 19 24.7 1.073 23 32 85 1 0 4.6 1 M A 20 35.5 1.144 31 44 70 16 1 4.8 0 F B 21 78.1 1.166 67 43 95 13 0 6.3 1 M F 22 49 1.020 48 48 65 6 1 3.8 1 F D 23 23.1 1.005 23 36 65 6 1 3.3 0 F A 24 56.8 1.183 48 30 75 9 1 3.8 0 F D 25 24.2 1.053 23 41 70 4 0 4 0 M A 26 23.1 1.003 23 22 95 2 1 6.2 0 F A 27 45.3 1.132 40 35 80 7 0 3.9 1 M C 28 76.4 1.141 67 44 95 9 1 4.4 0 F F 29 74.6 1.113 67 52 95 5 0 5.4 0 M F 30 48.2 1.005 48 45 90 18 0 4.3 0 M D 31 23.1 1.006 23 29 60 4 1 3.9 1 F A 32 27.8 0.898 31 25 95 4 0 5.6 0 M B 33 61.7 1.083 57 35 90 9 0 5.5 1 M E 34 27.5 0.886 31 26 80 2 0 4.9 1 M B 35 23.7 1.032 23 23 90 4 1 5.3 0 F A 36 25.1 1.093 23 27 75 3 1 4.3 0 F A 37 23.4 1.016 23 22 95 2 1 6.2 0 F A 38 60.1 1.054 57 45 95 11 0 4.5 0 M E 39 36.7 1.184 31 27 90 6 1 5.5 0 F B 40 25.1 1.090 23 24 90 2 0 6.3 0 M A 41 38.8 0.971 40 25 80 5 0 4.3 0 M C 42 23 1.001 23 32 100 8 1 5.7 1 F A 43 75 1.120 67 42 95 20 1 5.5 0 F F 44 64.4 1.129 57 45 90 16 0 5.2 1 M E 45 47.4 0.988 48 36 95 8 1 5.2 1 F D 46 68.7 1.205 57 39 75 20 0 3.9 1 M E 47 59.6 1.045 57 37 95 5 0 5.5 1 M E 48 65.9 1.156 57 34 90 11 1 5.3 1 F E 49 69.1 1.213 57 41 95 21 0 6.6 0 M E 50 65.2 1.143 57 38 80 12 0 4.6 0 M E Empirical Probability: What is the probability for a: a.       Randomly selected person being in grade E or above? b.      Randomly selected person being a male in grade E or above?   c.      Randomly selected male being in grade E or above?   d.     Why are the results different?
ID Salary Compa Midpoint Age Performance Rating Service Gender Raise Degree Gender1 Gr 1 63.9 1.121 57 34 85 8 0 5.7 0 M E 2 27.7 0.892 31 52 80 7 0 3.9 0 M B 3 34.3 1.105 31 30 75 5 1 3.6 1 F B 4 57.6 1.010 57 42 100 16 0 5.5 1 M E 5 47.4 0.987 48 36 90 16 0 5.7 1 M D 6 75.2 1.122 67 36 70 12 0 4.5 1 M F 7 41.9 1.048 40 32 100 8 1 5.7 1 F C 8 23.4 1.018 23 32 90 9 1 5.8 1 F A 9 74 1.105 67 49 100 10 0 4 1 M F 10 24.2 1.054 23 30 80 7 1 4.7 1 F A 11 23.7 1.032 23 41 100 19 1 4.8 1 F A 12 58.3 1.022 57 52 95 22 0 4.5 0 M E 13 41.4 1.034 40 30 100 2 1 4.7 0 F C 14 23.7 1.030 23 32 90 12 1 6 1 F A 15 23 1.001 23 32 80 8 1 4.9 1 F A 16 41.5 1.037 40 44 90 4 0 5.7 0 M C 17 63.6 1.115 57 27 55 3 1 3 1 F E 18 34.3 1.107 31 31 80 11 1 5.6 0 F B 19 24.7 1.073 23 32 85 1 0 4.6 1 M A 20 35.5 1.144 31 44 70 16 1 4.8 0 F B 21 78.1 1.166 67 43 95 13 0 6.3 1 M F 22 49 1.020 48 48 65 6 1 3.8 1 F D 23 23.1 1.005 23 36 65 6 1 3.3 0 F A 24 56.8 1.183 48 30 75 9 1 3.8 0 F D 25 24.2 1.053 23 41 70 4 0 4 0 M A 26 23.1 1.003 23 22 95 2 1 6.2 0 F A 27 45.3 1.132 40 35 80 7 0 3.9 1 M C 28 76.4 1.141 67 44 95 9 1 4.4 0 F F 29 74.6 1.113 67 52 95 5 0 5.4 0 M F 30 48.2 1.005 48 45 90 18 0 4.3 0 M D 31 23.1 1.006 23 29 60 4 1 3.9 1 F A 32 27.8 0.898 31 25 95 4 0 5.6 0 M B 33 61.7 1.083 57 35 90 9 0 5.5 1 M E 34 27.5 0.886 31 26 80 2 0 4.9 1 M B 35 23.7 1.032 23 23 90 4 1 5.3 0 F A 36 25.1 1.093 23 27 75 3 1 4.3 0 F A 37 23.4 1.016 23 22 95 2 1 6.2 0 F A 38 60.1 1.054 57 45 95 11 0 4.5 0 M E 39 36.7 1.184 31 27 90 6 1 5.5 0 F B 40 25.1 1.090 23 24 90 2 0 6.3 0 M A 41 38.8 0.971 40 25 80 5 0 4.3 0 M C 42 23 1.001 23 32 100 8 1 5.7 1 F A 43 75 1.120 67 42 95 20 1 5.5 0 F F 44 64.4 1.129 57 45 90 16 0 5.2 1 M E 45 47.4 0.988 48 36 95 8 1 5.2 1 F D 46 68.7 1.205 57 39 75 20 0 3.9 1 M E 47 59.6 1.045 57 37 95 5 0 5.5 1 M E 48 65.9 1.156 57 34 90 11 1 5.3 1 F E 49 69.1 1.213 57 41 95 21 0 6.6 0 M E 50 65.2 1.143 57 38 80 12 0 4.6 0 M E Empirical Probability: What is the probability for a: a.       Randomly selected person being in grade E or above? b.      Randomly selected person being a male in grade E or above?   c.      Randomly selected male being in grade E or above?   d.     Why are the results different?

Explanation / Answer

Count of Gender Column Labels Row Labels F M Grand Total A 12 3 15 B 4 3 7 C 2 3 5 D 3 2 5 E 2 10 12 F 2 4 6 Grand Total 25 25 50 a.       Randomly selected person being in grade E or above? 0.36 b.      Randomly selected person being a male in grade E or above?   0.56 c.      Randomly selected male being in grade E or above?   0.16 d.     Why are the results different? in a) I am considering probabiltiy of grade E for all students, in part b) I am considering garde E and male from all students. In part c) I am considering grade E or above from males students.