Page 388 - DECO504_STATISTICAL_METHODS_IN_ECONOMICS_HINDI

vFkZ'kkL=k esa lkaf[;dh; fof/;k¡

uksV o rhljh dkyhA lkFk gh gj ckj ,d xsan de gksrh tk,xhμ
6
igyh xsan yky fudyus dh izkf;drk =
14
3
nwljh xsan ihyh fudyus dh P =
13
5
rhljh xsan dkyh fudyus dh P =
12
6 3 5 90 15
vr% mi;qZDr Øe esa xsansa fudyus dh izkf;drk = × × = =
14 13 12 2184 364
;ksx izes; o xq.ku izes; dk la;qDr iz;ksx

oqQN ifjfLFkfr;ksa esa xq.ku izes; vkSj ;ksx izes; nksuksa dk ,d lkFk iz;ksx fd;k tkrk gSA ,slh fLFkfr esa
igys xq.ku izes; dk iz;ksx fd;k tkrk gS vkSj mlosQ ckn ;ksx izes; dk iz;ksx gksrk gSA
mnkgj.k (Illustration 10) : ,d FkSys esa 5 lisQn o 4 dkyh xsansa gSaA muesa ls ,d xsan fudkyh tkrh
gS vkSj fiQj mls okil FkSys esa Mky fn;k tkrk gSA blosQ ckn nksckjk ,d xsan fudkyh tkrh gSA bl ckr
dh D;k lEHkkouk gS fd fudkyh xbZ nksuksa xsansa vyx&vyx jax dh Fkha\
vyx&vyx jax dh nks rjhosQ ls fudy ldrh gSaμ
5 4 20
gy (Solution) : (1) igyh lisQn vkSj nwljh dkyh gksus dh izkf;drk = × =
9 9 81
4 5 20
(2) igyh dkyh vkSj nwljh lisQn gksus dh izkf;drk = × =
9 9 81
20 20 40
vr% vyx&vyx jax dh xsansa fudyus dh izkf;drk = + =
81 81 81
mnkgj.k (Illustration 11) : rk'k dh ,d xM~Mh esa ls ,d iÙkk ;kn`PN;k fudkydj vyx j[k fn;k tkrk
gSA mlosQ ckn xM~Mh ls nwljk iÙkk fudkyk tkrk gSA izkf;drk Kkr dhft, fd os nksuksa iÙks csxe o xqyke
gSaA
gy (Soution) : nks iÙks [khapus ij muosQ csxe rFkk xqyke gksus dh nks fLFkfr;k¡ gks ldrh gSaμ
4 4
(A) igys csxe ,oa ckn esa xqyke fudyus dh izkf;drk P(Q, J) = ×
52 51
4 4
(B) igys xqyke o ckn esa csxe fudyus dh izkf;drk P(J, Q) = ×
52 51
vr% fdlh Hkh Øe ls ,d csxe vkSj ,d xqyke fudyus dh vHkh"V izkf;drk
4 L 4 O L 4 4 O 16 16 32 8
P M
+
= M 52 N × 51Q N 52 × 51Q P = 2652 + 2652 = 2652 = 663

;ksxkRed fu;e rFkk xq.kkRed fu;e dk iz;ksx ,d lkFk gksrk gSA

27-4 de ls de ,d ?kVuk osQ ?kfVr gksus dh izkf;drk (Probability of Happening
at Least one Event)

tc vusd LorU=k ?kVukvksa esa ls de ls de ,d ?kVuk osQ ?kfVr gksus dh izkf;drk Kkr djuh gks rc

382 LOVELY PROFESSIONAL UNIVERSITY