(Business Mathematics & Statistics) 2024-02-18
: [09.00 – 12.00]
09
01
x
X
x y
“x” “y”
X
x
“a”
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Friday
Thursday
Wednesday
Tuesday
Monday
Sunday
0 10 20 30 40 50 60 70 80 90
……………
3|Page
y = 3 - 2x x y
02
[ ]
03
[ ] [ ]
“ ”
[ ] [ ]
4|Page
[ ]
04
x
y
x
y
y = a + bx
05
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06
[ ]
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7|Page
:
: 𝑥:
𝑎𝑥 𝑏𝑥 𝑐 𝑥
𝑛
𝑓𝑥
𝑏± 𝑏 𝑎𝑐
𝑥 𝑓
𝑎 :
Md = (n + 1)th term
2
n -F
Tn = a + (n - 1) d c
Md = L1 + 2 XC
fm
n :
n ∆1
S { a n- d} M0 = L1 + XC
∆1 + ∆2
: 𝜎:
Tn = arn-1
𝑥− 𝑥 2 𝑥2
n : 𝑥
𝑛 𝑛
{𝑟 𝑛 − }
𝑆 𝑎 𝑟>
{𝑟− }
{ −𝑟 𝑛 } 𝑓 𝑥− 𝑥 2 𝑓𝑥 2
𝑆 𝑎 𝑟< 𝑥
{ −𝑟}
𝑓 𝑓
𝑆 𝑛𝑎 𝑟
𝜎
= X 100
𝑥
:
𝑆 𝑋 𝑛𝑟
:
𝑆 𝑋{ 𝑟}𝑛
[𝑛 𝑥𝑦 𝑥 𝑦]
×
+𝑟 𝑛
{[𝑛 𝑥 𝑥 ] × [𝑛 𝑦 𝑦 ]}
𝑆𝑅 𝑛 𝑅
𝐴
{𝑅𝑛 }
[𝑛 𝑥𝑦 − 𝑥 𝑦]
b=
[𝑛 𝑥2 – 𝑥 2]
EIR = { 𝑟 𝑛
} a=𝑦 𝑏𝑥
8|Page
Y TxSxCxR
𝑝1
𝑝0
×
𝑞1
𝑞0
×
-
𝑣1 𝑝1 𝑞1
0
= 𝑝0 𝑞0
× 100
𝑝1 -
𝑝0
×
𝑞1
𝑞0
× P (A) –
𝑝1
𝑛 𝑝0
×
𝑞1
𝑛 𝑞0
×
P (A B) = P (A) + P (B) – P (A B)
𝑃 𝐴 𝐵
P (A/B) = 𝑃 𝐵
𝑝1 𝑞0
𝑝0 𝑞0
×
𝑞1 𝑝0
𝑞0 𝑝0
×
𝐸 𝑋 𝑝𝑟𝑜𝑏𝑎𝑏𝑖𝑙𝑖𝑡𝑦 × 𝑝𝑎𝑦 𝑜𝑓𝑓) 𝑝×𝑥
𝑝1 𝑞1
𝑝0 𝑞1
× 𝑉𝐴𝑅 𝑋 𝑝𝑥 𝑝𝑥
𝑞1 𝑝1
𝑞0 𝑝1
×
𝑥 𝜇
𝑍
𝜎
𝑝1 𝑤
𝑝0 𝑤
×
𝑞1 𝑤
𝑞0 𝑤
×
[ 𝑤 ×𝐼𝑝 ]
= 𝑤
×
[ 𝑤 ×𝐼𝑞 ]
= 𝑤
×
9|Page