Page 172 - Math Grade 12 (Advance)
P. 172
PROEUS DARA
ori1w :
1111
n. ttiUi~tHrntlHtdHlilHfHU X ~tflidlHtdHl.mihoh~~ttl Z '1
u
2
ttl X dlHtd~tS N(JO, 25) ~tlrn !l = 10 Stl a = 25 t{ a= 5
10
ttlQlS Z = X-
5
p (X > 12) = p( X / 0 > 12 ; 10)
= P(Z > 0.4) tmru x- 10 = z
5
= 0.5 - 0.1554 = 0.3446
tlmsg P(X > 12) = 0.3446 '1
u
2_ P(X< 6) = p(X~10<6~10)
= P(Z<-0.8) = 0.5-0.2881 = 0.2119
tlmsg P(X<6) =0.2119 '1
u
ti. P( 6 <X< 12) = p(6 ~ 10 <X~ 10 < 12; 10)
= P( -0.8 < Z < 0.4) = 0.2881 + 0.1554 = 0.4435
t~msg P(6 < x < 12) = 0.4435 '1
u
n. P(48<X<54) 2. ?(52< X< 55) ti. P(IX -501 < J8) '1
n. P(0.25 < z < 1.75) 2. P(-0.70 < Z < 1.86) ti. P(-1.4<Z<-0.6) '1
3. es~flir;mmflflCUl'~eemUfUiGie Jl ee 0'
tsitt1rn2g ttiH1~m~~n?Jt13. ruTJ13ru~t~rntlintsinliHnHuuihmM~m z tttlru
GV Ci GV U ~ if rl
u
n. P(Z <a) = 0.9693
2. P(Z >a) = 0.7357 '1
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