A particular university reported the following percentages: -47% are Male students -35% are Arts students -40% are Science students -15% are Female students and in other faculties -19% are Male students and in Sciences The results are summarized in the contingency table below. Male Female Arts Sciences Other Total a) Fill in the table. Arts Sciences Other Total 0.19 0.47 0.15 Male 0.19 0.47 Total 0.35 0.40 Female b) What is the conditional relative frequency distribution of faculty for males? O Arts: 0.17; Science: 0.21; Other: 0.15 Arts: 0.35; Science: 0.40; Other: 1 Arts: 0.38; Science: 0.4; Other: 0.21 Arts: 0.32; Science: 0.4; Other: 0.28 Arts: 0.18; Science: 0.19; Other: 0.1 0.15 c) What is the conditional relative frequency distribution of gender in other faculties? O Male: 0.18; Female:0.17 O Male: 0.4; Female: 0.6 O Male: 0.514; Female: 0.486 O Male: 0.475; Female: 0.525 O Male: 0.18; Female: 0.21 Total 0.35 0.40

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A particular university reported the following percentages:
-47% are Male students
-35% are Arts students
-40% are Science students
-15% are Female students and in Other faculties
-19% are Male students and in Sciences
The results are summarized in the contingency table below.
Male
Female
Total
0.35
0.40
Arts
Sciences
Other
Total
a) Fill in the table.
Arts
Sciences
Other
Total
0.19
0.47
0.15
Male
0.19
0.47
Female
b) What is the conditional relative frequency distribution of faculty for males?
O Arts: 0.17; Science: 0.21; Other: 0.15
O Arts: 0.35; Science: 0.40; Other: 1
O Arts: 0.38; Science: 0.4; Other: 0.21
O Arts: 0.32; Science: 0.4; Other: 0.28
O Arts: 0.18; Science: 0.19; Other: 0.1
0.15
c) What is the conditional relative frequency distribution of gender in other faculties?
Male: 0.18; Female:0.17
O Male: 0.4; Female: 0.6
O Male: 0.514; Female: 0.486
O Male: 0.475; Female: 0.525
O Male: 0.18; Female: 0.21
Total
0.35
0.40
d) Do gender and faculty appear to be dependent?
O Yes, because the distribution of males and females in each faculty appear very similar.
O No, because there is a noticeable difference in the distribution of males and females in the different faculties.
O No, because they are not disjoint.
O Yes, because there is a noticeable difference in the distribution of males and females in the different faculties.
O No, because the distribution of males and females in each faculty appear very similar.
Transcribed Image Text:A particular university reported the following percentages: -47% are Male students -35% are Arts students -40% are Science students -15% are Female students and in Other faculties -19% are Male students and in Sciences The results are summarized in the contingency table below. Male Female Total 0.35 0.40 Arts Sciences Other Total a) Fill in the table. Arts Sciences Other Total 0.19 0.47 0.15 Male 0.19 0.47 Female b) What is the conditional relative frequency distribution of faculty for males? O Arts: 0.17; Science: 0.21; Other: 0.15 O Arts: 0.35; Science: 0.40; Other: 1 O Arts: 0.38; Science: 0.4; Other: 0.21 O Arts: 0.32; Science: 0.4; Other: 0.28 O Arts: 0.18; Science: 0.19; Other: 0.1 0.15 c) What is the conditional relative frequency distribution of gender in other faculties? Male: 0.18; Female:0.17 O Male: 0.4; Female: 0.6 O Male: 0.514; Female: 0.486 O Male: 0.475; Female: 0.525 O Male: 0.18; Female: 0.21 Total 0.35 0.40 d) Do gender and faculty appear to be dependent? O Yes, because the distribution of males and females in each faculty appear very similar. O No, because there is a noticeable difference in the distribution of males and females in the different faculties. O No, because they are not disjoint. O Yes, because there is a noticeable difference in the distribution of males and females in the different faculties. O No, because the distribution of males and females in each faculty appear very similar.
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