IOP2601 Assignment 2 (DETAILED ANSWERS) Semester 1 2024 - DISTINCTION GUARANTEED

IOP2601
Assignment 2 Semester 1 2024
Unique #:
Due Date: 15 April 2024



Detailed solutions, explanations, workings
and references.

+27 81 278 3372

, QUESTION

1.1.
P(Zodwa will win first prize) = 50/200 = 0.25



1.2.
P(MacGyve will win first prize) = 30/200 = 0.15



1.3.
P(MacGyver will win second prize) = 50/200 * 30/(200 – 50) = 0.05



1.4.
P(Zodwa will win second prize) =30/200 * 50/(200 – 30) = 0.0441



1.5.
P(Zodwa and MacGyver will win first and second prize)

= (50/200 x 30/150) + (30/200 x 50/170)

= 0.0941



QUESTION 2

2.1.

𝑁 ∑ 𝑋𝑌 − ∑ 𝑋 ∑ 𝑌
𝑟=
√(𝑁 ∑ 𝑋 2 − (∑ 𝑋)2 )(𝑁 ∑ 𝑌 2 − (∑ 𝑌)2 )

10 ∗ 110 − 30 ∗ 35
𝑟=
√(10 ∗ 100 − (30)^2)(10 ∗ 133 − (35)^2

50
𝑟=
√10500

𝑟 = 0,0048




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