IOP2601 Assignment 2 Full Solutions Semester 2 2024 - DUE 26 August 2024 ;100 % TRUSTED workings, Expert Solved, Explanations and Solutions. For assistance call or W.h.a.t.s.a.p.p us on ...(.+.2.5.4.7.7.9.5.4.0.1.3.2)...........
QUESTION 1 [11]
Use the information below to answer the questions t...
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IOP2601
ASSIGNMENT 2 SEMESTER 2 2024
UNIQUE NO.
DUE DATE: 26 AUGUST 2024
, lOMoARcPSD|21997160
IOP2601/Assessment 2/SEM 2/2024
ASSESSMENT 02
Due date: 26 August 2024 (20:00)
Total: 50 marks
Lessons: 7 to 10
Use computational formulas, where applicable, and round off the final answer to two
decimal places. (Values read from tables must be given unaltered.)
QUESTION 1 [11]
Use the information below to answer the questions that follow.
A local community centre will soon be celebrating its annual "Volunteer of the Year" award,
with the winner receiving a R20 000 gift card and a certificate of appreciation. Two
volunteers, Sonia and Jack, are finalists for this prize.
Sonia has been volunteering at the centre for fifteen (15) years and is recognised for her
dedication and vast contributions. She received 40 nominations from various community
members. Jack is a new volunteer who has made a big impact with his energy and
innovative ideas. He received 20 nominations from both community members and
employees.
The community centre's administration received 200 valid nominations. Sonia and Jack are
now excitedly anticipating the announcement of the winner, conscious that their chances
are determined by the number of nominations they received, as well as the selection
committee's considerations.
1.1 What is the probability that Sonia will win first prize? (2)
1.2 What is the possibility that Jack will win first prize? (2)
1.3 If Sonia wins first prize, what is the probability that Jack will win second prize? (The
person winning the first prize is not eligible to be selected for the second or third prize).
(2)
1.4 If Jack wins the first prize, what is the probability that Sonia will win the second prize?
(The person winning the first prize is not eligible to be selected for the second or third
prize). (2)
1.5 What is the probability that Sonia and Jack will win first and second prize, respectively?
(3)
[TURN OVER]
, lOMoARcPSD|21997160
2
IOP2601/Assessment 2/SEM2/2024
QUESTION 2 [23]
A Nigerian researcher conducted a study on the impact of study group participation on the
academic performance of first-year university students. The researcher found that students
who regularly participated in study groups had higher academic achievements than those
who studied alone or only attended lectures.
A researcher at the University of South Africa (Unisa) aimed to assess the relevance of the
Nigerian researcher’s findings within the South African educational context. To do so, the
Unisa researcher began by analysing the correlation between participation in study groups
(X) and academic achievement (Y).
The findings were as follows:
N = 10 ƩX = 33 ƩX2 = 125 ƩY = 32 ƩY2 = 112 ƩXY = 114
2.1 Calculate the relationship between utilising the university library and academic
achievement scores. (3)
2.2 Interpret the correlation coefficient. (2)
2.3 What can you deduce from the nature of the relationship between utilising the
university library and academic achievement? (1)
2.4 Calculate the percentage of common variance between the two sets of scores and
illustrate it in a diagram. (3)
2.5 Calculate the slope. (3)
2.6 Calculate the intercept. (3)
2.7 Calculate the academic achievement score if the study group participation score is 7.
(3)
2.8 Give a graphical representation of the regression line by indicating the intercept and
the predicted value (calculated above) on this regression line. (5)
[TURN OVER]
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