A particular university reported the following percentages: -48% 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 Arts 0.35 Sciences 0.19 0.40 Other 0.15 Total 0.48 a) Fill in the table. Male Female Total Arts 0.35 Sciences 0.19 0.40 Other 0.15 Total 0.48 b) What is the conditional relative frequency distribution of faculty for females? O Arts: 0.31; Science: 0.4; Other: 0.29 O Arts: 0.4; Science: 0.4; Other: 0.21 O Arts: 0.19; Science: 0.19; Other: 0.1 O Arts: 0.35; Science: 0.40; Other: 1 O Arts: 0.16; Science: 0.21; Other: 0.15 c) What is the conditional relative frequency distribution of gender in Arts? O Male: 0.543; Female: 0.457 O Male: 0.475; Female: 0.525 Male: 0.18; Female: 0.21 O Male: 0.19; Female:0.16 O Male: 0.4; Female: 0.6

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A particular university reported the following percentages:
-48% 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
Arts
0.35
Sciences
0.19
0.40
Other
0.15
Total
0.48
a) Fill in the table.
Male
Female
Total
Arts
0.35
Sciences
0.19
0.40
Other
0.15
Total
0.48
b) What is the conditional relative frequency distribution of faculty for females?
O Arts: 0.31; Science: 0.4; Other: 0.29
O Arts: 0.4; Science: 0.4; Other: 0.21
O Arts: 0.19; Science: 0.19; Other: 0.1
O Arts: 0.35; Science: 0.40; Other: 1
O Arts: 0.16; Science: 0.21; Other. 0.15
c) What is the conditional relative frequency distribution of gender in Arts?
O Male: 0.543; Female: 0.457
O Male: 0.475; Female: 0.525
O Male: 0.18; Female: 0.21
O Male: 0.19; Female:0.16
O Male: 0.4; Female: 0.6
d) Do gender and faculty appear to be dependent?
O es, 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 the distribution of males and females in each faculty appear very similar.
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.
Transcribed Image Text:A particular university reported the following percentages: -48% 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 Arts 0.35 Sciences 0.19 0.40 Other 0.15 Total 0.48 a) Fill in the table. Male Female Total Arts 0.35 Sciences 0.19 0.40 Other 0.15 Total 0.48 b) What is the conditional relative frequency distribution of faculty for females? O Arts: 0.31; Science: 0.4; Other: 0.29 O Arts: 0.4; Science: 0.4; Other: 0.21 O Arts: 0.19; Science: 0.19; Other: 0.1 O Arts: 0.35; Science: 0.40; Other: 1 O Arts: 0.16; Science: 0.21; Other. 0.15 c) What is the conditional relative frequency distribution of gender in Arts? O Male: 0.543; Female: 0.457 O Male: 0.475; Female: 0.525 O Male: 0.18; Female: 0.21 O Male: 0.19; Female:0.16 O Male: 0.4; Female: 0.6 d) Do gender and faculty appear to be dependent? O es, 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 the distribution of males and females in each faculty appear very similar. 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.
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