Page 159 - Math Grade 12 (Advance)

PROEUS DARA
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2. mh Y t:htdHtH:IaJ" o~amrunn.ntruJh"
X-Bin(lO, p) tl::lru p = _! = ~ Sh q = 1-~ = ~
20 5 5 5
Lumu&r::~rumtimsmrunnfitruJb@struruti 4 ?i P(X$;4) t?Jms
u
P(X$;4) = P(X = O)+P(X = l)+P(X = 2)+P(X = 3)+P(X = 4)
P(X = 0) = C(lO. 0) X Gr( ) 10 = 0.0060
3

P(X = 1) = C(lO,l)xGY(~J = 0.0403

3
P(X = 2) = C(lO. 2) X (~r( r = 0.1209

P(X = 3) = C(lo. 3)xGr(~Y = 0.2150

P(X = 4) = C(lO, 4)x(~J(~J = 0.2508

P(X $; 4) = 0.0060 + 0.0403 + 0.1209 + 0.2508 = 0.6330 '1

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1
Lf1Hug: X t:h~HtHtt.ii::ISJtS Bin(IO, p) tl::lru p<~ , Var(X) = : '1

2. E(X) ?1. P(X = 2) '1

3.

n&~~H!HtBf:lSJ x tf:lrutfint(jb~nQPtitllbt?J ?imn&~ x nm &1::1 ruLn {sb n &~
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Lumunmbt?J nt~&Sl8~smrut?Jtmim jtr'1
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X-Bin(IO, 0.45) &?101S P(X=x) = C(n, x)xpx(l-p)n-x tf:lill

X= 0, I, 2, ... ,10 '1

0 10
P(X = 0) = C(lO, 0) X (0.45) (0.55) = 0.0025
1 9
P(X = 1) = C(IO, 1) x (0.45) (0.55) = 0.0207
8
P(X = 2) = C(lO, 2) x (0.45)\0.55) = 0.0763
3 5
P(X = 3) = C(lO, 3) X (0.45) (0.55) = 0.1665

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