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IOP2601 ASSESSMENT 2 SEM 2 OF 2024 EXPECTED QUESTIONS AND ANSWERS R97,33   Add to cart

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IOP2601 ASSESSMENT 2 SEM 2 OF 2024 EXPECTED QUESTIONS AND ANSWERS

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THIS DOCUMENT CONTAINS CAREFULLY SWORKED OUT IOP2601 ASSESSMENT 2 SEM 2 OF 2024 EXPECTED QUESTIONS AND ANSWERS. USE IT CORRECTLY AS A GUIDE TO SCORE ABOVE 75%

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  • August 24, 2024
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 𝑇𝑜𝑡𝑎𝑙 𝑛𝑜𝑚𝑖𝑛𝑎𝑡𝑖𝑜𝑛𝑠: 200 +27737560989
for FAC MAC ECS DSC TAX QMI FIN INV BNU
 𝑆𝑜𝑛𝑖𝑎 𝑠 𝑛𝑜𝑚𝑖𝑛𝑎𝑡𝑖𝑜𝑛𝑠: 40 STA tutorials
 𝐽𝑎𝑐𝑘 𝑠 𝑛𝑜𝑚𝑖𝑛𝑎𝑡𝑖𝑜𝑛𝑠: 20
𝟏. 𝟏 𝑷𝒓𝒐𝒃𝒂𝒃𝒊𝒍𝒊𝒕𝒚 𝒕𝒉𝒂𝒕 𝑺𝒐𝒏𝒊𝒂 𝑾𝒊𝒍𝒍 𝑾𝒊𝒏 𝑭𝒊𝒓𝒔𝒕 𝑷𝒓𝒊𝒛𝒆
𝑃(𝑆𝑜𝑛𝑖𝑎 𝑤𝑖𝑛𝑠 𝑓𝑖𝑟𝑠𝑡 𝑝𝑟𝑖𝑧𝑒) = 40/200 = 0.20𝑃0
𝟏. 𝟐 𝑷𝒓𝒐𝒃𝒂𝒃𝒊𝒍𝒊𝒕𝒚 𝒕𝒉𝒂𝒕 𝑱𝒂𝒄𝒌 𝑾𝒊𝒍𝒍 𝑾𝒊𝒏 𝑭𝒊𝒓𝒔𝒕 𝑷𝒓𝒊𝒛𝒆
𝑃(𝐽𝑎𝑐𝑘 𝑤𝑖𝑛𝑠 𝑓𝑖𝑟𝑠𝑡 𝑝𝑟𝑖𝑧𝑒) = 20/200 = 0.10
𝟏. 𝟑 𝑷𝒓𝒐𝒃𝒂𝒃𝒊𝒍𝒊𝒕𝒚 𝒕𝒉𝒂𝒕 𝑱𝒂𝒄𝒌 𝑾𝒊𝒍𝒍 𝑾𝒊𝒏 𝑺𝒆𝒄𝒐𝒏𝒅 𝑷𝒓𝒊𝒛𝒆 𝒊𝒇 𝑺𝒐𝒏𝒊𝒂 𝑾𝒊𝒏𝒔 𝑭𝒊𝒓𝒔𝒕 𝑷𝒓𝒊𝒛𝒆
𝐼𝑓 𝑆𝑜𝑛𝑖𝑎 𝑤𝑖𝑛𝑠 𝑓𝑖𝑟𝑠𝑡 𝑝𝑟𝑖𝑧𝑒, 𝑠ℎ𝑒 𝑖𝑠 𝑛𝑜 𝑙𝑜𝑛𝑔𝑒𝑟 𝑒𝑙𝑖𝑔𝑖𝑏𝑙𝑒 𝑓𝑜𝑟 𝑠𝑒𝑐𝑜𝑛𝑑 𝑝𝑟𝑖𝑧𝑒. 𝑇ℎ𝑒 𝑟𝑒𝑚𝑎𝑖𝑛𝑖𝑛𝑔 𝑛𝑜𝑚𝑖𝑛𝑎𝑡𝑖𝑜𝑛𝑠 𝑎𝑟𝑒:
𝑅𝑒𝑚𝑎𝑖𝑛𝑖𝑛𝑔 𝑛𝑜𝑚𝑖𝑛𝑎𝑡𝑖𝑜𝑛𝑠 = 200 − 40 = 160
𝑇ℎ𝑒 𝑝𝑟𝑜𝑏𝑎𝑏𝑖𝑙𝑖𝑡𝑦 𝑡ℎ𝑎𝑡 𝐽𝑎𝑐𝑘 𝑤𝑖𝑛𝑠 𝑠𝑒𝑐𝑜𝑛𝑑 𝑝𝑟𝑖𝑧𝑒 𝑓𝑟𝑜𝑚 𝑡ℎ𝑒 𝑟𝑒𝑚𝑎𝑖𝑛𝑖𝑛𝑔 𝑛𝑜𝑚𝑖𝑛𝑎𝑡𝑖𝑜𝑛𝑠 𝑖𝑠:
𝑃(𝐽𝑎𝑐𝑘 𝑤𝑖𝑛𝑠 𝑠𝑒𝑐𝑜𝑛𝑑 𝑝𝑟𝑖𝑧𝑒 | 𝑆𝑜𝑛𝑖𝑎 𝑤𝑖𝑛𝑠 𝑓𝑖𝑟𝑠𝑡) = 20/160 = 0.125
𝟏. 𝟒 𝑷𝒓𝒐𝒃𝒂𝒃𝒊𝒍𝒊𝒕𝒚 𝒕𝒉𝒂𝒕 𝑺𝒐𝒏𝒊𝒂 𝑾𝒊𝒍𝒍 𝑾𝒊𝒏 𝑺𝒆𝒄𝒐𝒏𝒅 𝑷𝒓𝒊𝒛𝒆 𝒊𝒇 𝑱𝒂𝒄𝒌 𝑾𝒊𝒏𝒔 𝑭𝒊𝒓𝒔𝒕 𝑷𝒓𝒊𝒛𝒆
𝐼𝑓 𝐽𝑎𝑐𝑘 𝑤𝑖𝑛𝑠 𝑓𝑖𝑟𝑠𝑡 𝑝𝑟𝑖𝑧𝑒, ℎ𝑒 𝑖𝑠 𝑛𝑜 𝑙𝑜𝑛𝑔𝑒𝑟 𝑒𝑙𝑖𝑔𝑖𝑏𝑙𝑒 𝑓𝑜𝑟 𝑠𝑒𝑐𝑜𝑛𝑑 𝑝𝑟𝑖𝑧𝑒. 𝑇ℎ𝑒 𝑟𝑒𝑚𝑎𝑖𝑛𝑖𝑛𝑔 𝑛𝑜𝑚𝑖𝑛𝑎𝑡𝑖𝑜𝑛𝑠 𝑎𝑟𝑒:
𝑅𝑒𝑚𝑎𝑖𝑛𝑖𝑛𝑔 𝑛𝑜𝑚𝑖𝑛𝑎𝑡𝑖𝑜𝑛𝑠 = 200 − 20 = 180
𝑇ℎ𝑒 𝑝𝑟𝑜𝑏𝑎𝑏𝑖𝑙𝑖𝑡𝑦 𝑡ℎ𝑎𝑡 𝑆𝑜𝑛𝑖𝑎 𝑤𝑖𝑛𝑠 𝑠𝑒𝑐𝑜𝑛𝑑 𝑝𝑟𝑖𝑧𝑒 𝑓𝑟𝑜𝑚 𝑡ℎ𝑒 𝑟𝑒𝑚𝑎𝑖𝑛𝑖𝑛𝑔 𝑛𝑜𝑚𝑖𝑛𝑎𝑡𝑖𝑜𝑛𝑠 𝑖𝑠:
𝑃(𝑆𝑜𝑛𝑖𝑎 𝑤𝑖𝑛𝑠 𝑠𝑒𝑐𝑜𝑛𝑑 𝑝𝑟𝑖𝑧𝑒 | 𝐽𝑎𝑐𝑘 𝑤𝑖𝑛𝑠 𝑓𝑖𝑟𝑠𝑡) = 40/180 ≈ 0.222
𝟏. 𝟓 𝑷𝒓𝒐𝒃𝒂𝒃𝒊𝒍𝒊𝒕𝒚 𝒕𝒉𝒂𝒕 𝑺𝒐𝒏𝒊𝒂 𝑾𝒊𝒏𝒔 𝑭𝒊𝒓𝒔𝒕 𝑷𝒓𝒊𝒛𝒆 𝒂𝒏𝒅 𝑱𝒂𝒄𝒌 𝑾𝒊𝒏𝒔 𝑺𝒆𝒄𝒐𝒏𝒅 𝑷𝒓𝒊𝒛𝒆
𝑇ℎ𝑖𝑠 𝑖𝑠 𝑡ℎ𝑒 𝑗𝑜𝑖𝑛𝑡 𝑝𝑟𝑜𝑏𝑎𝑏𝑖𝑙𝑖𝑡𝑦 𝑡ℎ𝑎𝑡 𝑆𝑜𝑛𝑖𝑎 𝑤𝑖𝑛𝑠 𝑓𝑖𝑟𝑠𝑡 𝑎𝑛𝑑 𝑡ℎ𝑒𝑛 𝐽𝑎𝑐𝑘 𝑤𝑖𝑛𝑠 𝑠𝑒𝑐𝑜𝑛𝑑:
𝑃(𝑆𝑜𝑛𝑖𝑎 𝑤𝑖𝑛𝑠 𝑓𝑖𝑟𝑠𝑡 𝑎𝑛𝑑 𝐽𝑎𝑐𝑘 𝑤𝑖𝑛𝑠 𝑠𝑒𝑐𝑜𝑛𝑑) = 𝑃(𝑆𝑜𝑛𝑖𝑎 𝑤𝑖𝑛𝑠 𝑓𝑖𝑟𝑠𝑡) × 𝑃(𝐽𝑎𝑐𝑘 𝑤𝑖𝑛𝑠 𝑠𝑒𝑐𝑜𝑛𝑑)
= 0.20 × 0.125 = 0.025
.

, Given Data:
N = 10
ΣX = 33
ΣX 2 = 125
ΣY = 32
ΣY 2 = 112
ΣXY = 114
ΣXΣY = 33 × 32 = 1056
(ΣX)2 = 1089
(ΣY )2 = 1024

2.1 Calculate the Correlation Coefficient (r ):
The formula for the correlation coefficient r is:

N ΣXY − ΣXΣY
r=
[N ΣX 2 − (ΣX)2 ][N ΣY 2 − (ΣY )2 ]










Substituting the values:

10 × 114 − 1056
r=
[10 × 125 − 1089][10 × 112 − 1024]










1140 − 1056
r=
[1250 − 1089][1120 − 1024]










84
r=
161 × 96










OSCAR THE TUTOR
84 oscardiura@gmail.com
r= +27737560989
15456






for FAC MAC ECS DSC TAX QMI
FIN INV BNU STA tutorials
84
r=
124.32





r ≈ 0.68

2.2 Interpret the Correlation Coefficient:
The correlation coefficient r = 0.68 indicates a moderate positive correlation between study group
participation and academic achievement. This means that as participation in study groups increases,
academic achievement tends to increase as well, though not perfectly.

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