Advanced level 2025 South West regional mock Maths statistics 3 guide

Advanced level 2025 South West regional mock Maths statistics 3 guide

Advanced level 2025 South West regional mock Maths statistics 3 guide

MOCK 2025 MARK GUIDE- MATHS 0770 PAPER 3
1) I) a) 𝑃(𝐴 ∩ 𝐵) = 𝑃(𝐴) + 𝑃(𝐵) – 𝑃(𝐴 ∪ 𝐵)
=
2 5
+ 1
2
–
2 3
=
7
30
M1 A1
b) 𝑃(𝐵⁄𝐴1) = 𝑃(𝐵∩𝐴1)
𝑃(𝐴!)
=
𝑃(𝐵)-𝑃(𝐵∩𝐴)
1-𝑃(𝐴)
= (1 2 – 30 7 ) ÷ (1 – 2 3)
=
4 5
M1 M1 A1
c) 𝑃(𝐴 ∩ 𝐵) = 𝑃(𝐴). 𝑃(𝐵)
=
2 5
×
1 2
=
1 5
𝑠𝑖𝑛𝑐𝑒 𝑃(𝐴 ∩ 𝐵) = 1
5
≠
7
30
, 𝑡ℎ𝑒𝑛 𝐴 𝑎𝑛𝑑 𝐵 𝑎𝑟𝑒 𝑛𝑜𝑡 𝑖𝑛𝑑𝑒𝑝𝑒𝑛𝑑𝑒𝑛𝑡. M1 A1
𝑑) 𝑃(𝐴 ∪ 𝐵) = 𝑃(𝐴) + 𝑃(𝐵)
=
2 5
+ 1
2
=
9
10
𝑠𝑖𝑛𝑐𝑒 𝑃(𝐴 ∪ 𝐵) = 9
10
≠
2 3
, 𝑡ℎ𝑒𝑛 𝐴 𝑎𝑛𝑑 𝐵 𝑎𝑟𝑒 𝑛𝑜𝑡 𝑚𝑢𝑡𝑢𝑎𝑙𝑙𝑦 𝑒𝑥𝑐𝑙𝑢𝑠𝑖𝑣𝑒. M1 A1
ii) 𝐶 = 𝑐𝑟𝑖𝑚𝑒 𝐺 = 𝑔𝑢𝑖𝑙𝑡𝑦
8

𝐺1
5/100 G
30
⁄100 𝐶1
95
100
𝐺1 M1 A1
𝑒) 𝑃(𝐺) = 𝑃(𝐶 ∩ 𝐺) + 𝑃(𝐶1 ∩ 𝐺)
=
7
10
×
8
10
+ 3
10
×
1
20
=
23
40
M1 M1 A1
2) ∑ 𝑓 = 90 , ∑ 𝑓𝑥 = 4495, ∑ 𝑓𝑥2 = 265322.5
a) 𝑥̅ = ∑ 𝑓𝑥
∑ 𝑓
=
4495
90
= 49.94 M1 M1 A1
b) 𝑆 = √∑∑𝑓𝑓𝑥2 – 𝑥̅2
= √265322 90 .5 – 49.942 M1 A1
= 21.30 M1 A1
c) 𝑀𝑜𝑑𝑒 = 𝐿 + (𝑑1𝑑+1𝑑2)𝑐
= 50.5 + (18-12)
(18-12)+(18-4) (60.5 – 50.5)
= 50.5 + 6
10
(10)