Page 147 - Math Grade 12 (Advance)

PROEUS DARA

MU171if1J: X thHtU~ttH:iSJ ttlill'8l8 X 1 2 3
t;f
I
0
Qf
H8~'i:38i:ltiti.H6'WuQI'i5 P(X = x) mmg P(X = x) 0.1 0.6 0.3
1 I l.J
u
X = 1' 2, 3 '1 1'!1 M Sl
n. E(5X) 1'!1. E(5X+3) '1
oci1w:
1/N

li. E(5X) = :E[5x x P(X = x)]

= (5xl)(0.1)+(5x2)(0.6)+(5x3)(0.3) =II

tlmsg E(5X) = 11 '1
u
2
2. E(X ) = r.i x P(X = x)

2 2
= 1 (0.1)+2 (0.6)+3\0.3) = 5.2
2
1:113&88 E(X ) = 5.2 '1
u
?1. E(5X+3) = 1:[(5x+3)xP(X=x)]

= (5x 1 +3)(0.1)+(5x2+3)(0.6)+(5x3+3)(0.3)

= 0.8 + 7.8 + 5.4 = 14

1:!tHSg E(5X + 3) = 14 '1
u
3. rnnnn:
8

C) 0
1. E(a) =a t1:!rn a thBSStd~
u
C) 0
2. E(aX) = aE(X) ttlrn a thBSStd~
u
3. E(aX+b) = aE(X)+b ttlrn a 2b b r:hUSStd~
u

4. E[f (X) + hCX)] = E[f (X)] + E[/ (X)] t1:! ill / 2b ! r:hH9?113St8 X '1
1 1 2 1 2
MlJ11Wf1f[pl'f :

l. E(a) = :E[a x P(X = x)]

= a:EP(X = x) = a Btl U5 :EP(X = x) = 1 '1

2. E(aX) = :Eax x P(X = x)

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