Page 386 - DECO504_STATISTICAL_METHODS_IN_ECONOMICS_HINDI

vFkZ'kkL=k esa lkaf[;dh; fof/;k¡

uksV la[;k vkus dh D;k izkf;drk gS\
gy (Solution) : ikls osQ igyh ckj isaQdus o nwljh ckj isaQdus ls izkIr ifj.kke LorU=k ?kVuk,¡ gSaμ
1
igyh ckj isaQdus ls 6 vkus dh izkf;drk =
6
3
nwljh ckj isaQdus ls fo"ke la[;k (1, 3 o 5) vkus dh izkf;drk =
6
1 3 1
vr% nksuksa ?kVukvksa dh la;qDr izkf;drk = × =
6 6 12
mnkgj.k (Illustration 6) :

,d FkSys esa 8 xasnsa gS ftuesa ls 5 yky rFkk 3 lisQn gSaA ;fn ,d O;fDr ;kn`fPNd :i ls FkSys esa ls
2 xasnsa fudkyrk gS] rks izR;sd jax dh ,d xsan fudkyus dh D;k lEHkkfork gS\
8
gy (Solution) : FkSys esa 8 xasnsa gSa ftuesa ls 2 xasnsa fudkyus osQ rjhdksa dh oqQy la[;k = C 2
5
3
izR;sd jax dh ,d xsan fudkyus osQ rjhdksa dh la[;k = C × C 1
1
5 C × 3 C
vr% izR;sd jax dh ,d xsan fudkys tkus dh izkf;drk = 1 8 C 2 1
5 × 3 15
= =
28 28
mnkgj.k (Illustration 7) : rk'k osQ ,d [ksy esa iÙks vPNh rjg ls feyk, vkSj pkj f[kykfM+;ksa esa cjkcj
ck¡Vs tkrs gSaA fdlh fof'k"V f[kykM+h osQ pkjksa ckn'kkg izkIr djus dh D;k izkf;drk gS\
gy (Solution) :

52 iÙkksa esa ls 13 iÙks izR;sd f[kykM+h dks ck¡Vs tk,¡xsA
52
52 iÙkksa esa ls 13 iÙkksa dks Nk¡Vus osQ rjhosQ = C 13
4
4 ckn'kkgksa esa ls 4 ckn'kkg Nk¡Vus osQ rjhosQ = C 4
48
'ks"k 48 iÙkksa esa ls 'ks"k 9 iÙks Nk¡Vus osQ rjhosQ = C 9
4 C × 48 C
4
vr% 13 iÙkksa esa ls 4 ckn'kkg fudkyus dh izkf;drk = 52 C 13 9
13.12.11.10 11
= =
52.51.50.49 4165

vkxjk vkSj fnYyh dks tksM+us okyh 5 fofHkUu lM+osaQ gSaA ,d O;fDr viuh ;k=kk fdrus rjhosQ

ls iwjh dj ldrk gS ;fn og vkxjk ls fnYyh fdlh ,d lM+d ls tk, vkSj vU; lM+d
l ykSVs\
s
27-3 lizfrcU/ izkf;drk (Conditional Probability)

vusd ifjfLFkfr;ksa esa ,d ?kVuk osQ ,d ijh{k.k esa ?kVus ;k u ?kVus dk mlosQ Hkkoh ijh{k.kksa esa ?kfVr
gksus dh izkf;drk ij izHkko iM+rk gSA ,slh ?kVuk,¡ vkfJr ?kVuk,¡ dgykrh gSaA vr% bl ckr dh lEHkkouk

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