STA1510 ASSIGNMENT 2 SOLUTIONS SEMESTER 2 2020

2020

STA1510-BASIC STATISTICS




SEMESTER 2
ASSIGNMENT 02 SOLUTIONS
UNIQUE NUMBER 676731
Structural Engineer
M.Sc , B.Sc.Hons.Civil Engineering

, 20
1. 𝑃(𝑠𝑎𝑣𝑒𝑠 𝑚𝑜𝑟𝑒 𝑡ℎ𝑎𝑛 25%) = 300

= 𝟎, 𝟎𝟔𝟔𝟕 Option [1]


2. 𝐿𝑒𝑡 𝐴 − 𝑚𝑎𝑙𝑒

𝐵 − 𝑠𝑎𝑣𝑒 𝑏𝑒𝑡𝑤𝑒𝑒𝑛 15% 𝑎𝑛𝑑 25%

𝑃(𝐴 𝑎𝑛𝑑 𝐵)
𝑃(𝐴/𝐵) =
𝑃(𝐵)

72
𝑃(𝐴 𝑎𝑛𝑑 𝐵) =
300

90
𝑃(𝐵) =
300

72 90
𝑃(𝐴/𝐵) = ÷
300 300

72 300
= ×
300 90

= 𝟎, 𝟖𝟎 Option [3]



3. 𝑃(𝐴 𝑈 𝐵) = 𝑃(𝐴) + 𝑃(𝐵) − 𝑃(𝐴 𝑎𝑛𝑑 𝐵)

𝑃( 𝐴 𝑈 𝐵) = 𝑃(𝐴) + 𝑃(𝐵) − [𝑃(𝐴) × 𝑃(𝐵)]

0,75 = 𝑃(𝐴) + 0,4 − 0,4𝑃(𝐴)

0,35 = 0,6𝑃(𝐴)
0,35
𝑃(𝐴) =
0,6


𝑷(𝑨) = 𝟎, 𝟓𝟖𝟑𝟑 Option [5]




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