CHAPTER 12. PROBABILITY

1294. j~êâçî=fåÉèì~äáíó=

()

()

â

bu

mu>â ≤ I==

ïÜÉêÉ=â=áë=ëçãÉ=Åçåëí~åíK=

=

1295. s~êá~åÅÉ=çÑ=aáëÅêÉíÉ=o~åÇçã=s~êá~ÄäÉë=

() ( )[]∑()

=

σ = = −μ = −μ

å

áN

á

O

á

O O

sI==u b u ñ é

ïÜÉêÉ==

ñ =áë=~=é~êíáÅìä~ê=çìíÅçãÉI=á

é =áë=áíë=éêçÄ~ÄáäáíóK=á

=

1296. s~êá~åÅÉ=çÑ=`çåíáåìçìë=o~åÇçã=s~êá~ÄäÉë=

() ( )[]∫()()

∞

−∞

σO=su =b u−μO = ñ−μOÑñÇñ==

=

1297. 
      

      mêçéÉêíáÉë=çÑ=s~êá~åÅÉ=
      s()()u+v =su +s(v)I==
      s()()u−v =su +s(v)I=
      s()()u+Å =su I=
      s() ()Åu =ÅOsu I=
      ïÜÉêÉ=Å=áë=~=Åçåëí~åíK=

      
      


1298. pí~åÇ~êÇ=aÉîá~íáçå=

a() ()u = su = b[()u−μO]=

=

1299. `çî~êá~åÅÉ=
      Åçî()uIv =b[]()u−μ(u)(v−μ(v))=b(uv)−μ(u)μ(v)I==
      ïÜÉêÉ==
      u=áë=ê~åÇçã=î~êá~ÄäÉI==
      s =áë=íÜÉ=î~êá~åÅÉ=çÑ=uI==()u
      μ=áë=íÜÉ=ÉñéÉÅíÉÇ=î~äìÉ=çÑ=u=çê=vK=