ASSESSMENT 02
Closing date:
15 April 2024 (18:00)
Total:
50 marks
QUESTION 1
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
Closing date:
15 April 2024 (18:00)
Total:
50 marks
QUESTION 1
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
