STA1510 ASSIGNMENT 2 2022

STA1510- Basic Statistics
Assignment 2 2022

Due Date: 25 July 2022
Semester 2
Department of Statistics




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, Solution:

𝑋~𝑁(2.5; 0.5)
2.35 − 2.5 2.75 − 2.5
𝑃(2.35 < 𝑋 < 2.75) = 𝑃 ( <𝑍< )
0.5 0.5
= 𝑃(−0.3 < 𝑍 < 0.5)
= ∅(0.5) − ∅(−0.3)
= 0.6915 − 0.3821

= 0.3094 𝑂𝑝𝑡𝑖𝑜𝑛 𝐶




Solution:
𝑋~𝑁(2.5 ; 0.5)
𝑃(𝑋 ≥ 2.45) = 1 − 𝑃(𝑋 < 2.45)
2.45 − 2.5
= 1 − 𝑃 (𝑍 < )
0.5
= 1 − 𝑃(𝑍 < −0.1)
= 1 − 0.4602

= 0.5398 𝑂𝑝𝑡𝑖𝑜𝑛 𝐶



Sta1510 assignment 2 - 2022 WhatsApp: 081 844 1995
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