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1.1 Probability BONGO winning first prize
TOTAL NUMBER OF ENTRIES = 50
Number of entries submitted (BONGO) = 20
20
Therefore probability = 50 = 0.4
1.2 Probability VUYI winning Second prize
TOTAL NUMBER OF ENTRIES = 50 – 1=49
Number of entries submitted (VHUYI) = 15
15
Therefore probability = 49= 0.31
1.3 Probability BONGO and VHUYI winning first and second prize =
(Prob BONGO winning 1st prize x Prob VHUYI winning 2nd prize) + (Prob BONGO
winning 2nd prize x Prob VHUYI winning 1st prize)
20 15
= (0.4 x 0.31) + (49 𝑥 )
50
= (0.4 x 0.31) + (0.41 x 0.3)
=0.12 + 0.12
= 0.24
1
TUTOR:ADDIE
CONTACT:062 914 2414
, QUESTION 2
2.1 P(X <10) (smaller proportion)
µ = 18,ð = 9 N = 45
𝑋−µ
Z= 10 18
𝜎
10−18
=
9
−8
=
9
= Ф 0.89 (smaller proportion)
= 0.18473
2.2 P(X > 20)
𝑋−µ
Z=
𝜎
20−18
=
9
2
= 18 20
9
= Ф 0.22 (smaller proportion)
= 0.4129 x 100%
= 41.29%
2
TUTOR:ADDIE
CONTACT:062 914 2414
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