Page 161 - Math Grade 12 (Advance)

PROEUS DARA

P(X = x)

0.3560

0.2966

0.1780

0.1318
l
X
0 2 3

h~Jtit~'Stl r.6 '1
n. t:HlJlSHit~ X &1:HlHR6it91bmnnmh:hbtt:i
G\1 iW ......, "'
~. t:irulSl P(X<6) '1
otflw :
w
n. ttl X ct"UW3~t2 Bin(n, p) t?!QlS E(X) = np Sb Var(X) = npq

mtl I- p = q

&6i E(X) = 2 Sb Var(X) = 1.6 i:lt:HS8 np = 2 Sb npq = 1.6
u
-'! "" 0:;::
w ~ hl np = 2 Qb hl~fil~ npq = 1.6 tt:iQlS 2q = 1.6 Sl ~ q = 0.8
1
"" 2 2
t i:ll ru p = 1 - q = 1 - 0.8 = 0.2 t'Ul ru np = 2 'i5 n = - = - = 10
"'- p 0.2

P(X = x) = C(n, x) X pxqn-x

1 9
P(X,; 1) = C(lO, 1) x (0.2) (0.8) = 0.2684
8
P(X = 2) = C(lO, 2) x (0.2/(0.8) = 0.3020
3
P(X=3) = C(lO, 3)x(0.2) (0.8/ = 0.2013

156