Page 331 - 1300 Math Formulas

CHAPTER 12. PROBABILITY

1270. i~ï=çÑ=qçí~ä=mêçÄ~Äáäáíó=
ã
m ()=^ ∑ m ( ) ( L^m_ á _ á )I==
á =N
ïÜÉêÉ=_ =áë=~=ëÉèìÉåÅÉ=çÑ=ãìíì~ääó=ÉñÅäìëáîÉ=ÉîÉåíëK==
á
=
1271. _~óÉë∞=qÜÉçêÉã=

m ( _ ^ = m ( ^ _ ) L m ⋅ ( ) _ =
) L
m ()
^
=
1272. _~óÉë∞=cçêãìä~= )
m ( á L ^ )_ = ã ( m á )_ ⋅m ( L^ _ á I==
∑ ( m á )_ (⋅m ^ L á )_
â =N
ïÜÉêÉ==
_ =áë=~=ëÉí=çÑ=ãìíì~ääó=ÉñÅäìëáîÉ=ÉîÉåíë=EÜóéçíÜÉëÉëFI=
á
^ =áë=íÜÉ=Ñáå~ä=ÉîÉåíI==
m ( )=~êÉ=íÜÉ=éêáçê=éêçÄ~ÄáäáíáÉëI=
_
á
m (_ á L ^ )=~êÉ=íÜÉ=éçëíÉêáçê=éêçÄ~ÄáäáíáÉëK=
=
1273. i~ï=çÑ=i~êÖÉ=kìãÄÉêë=
 p 
m å − µ ≥  ε → M=~ë= → ∞ I==
å
 å 
 p 
m å − µ <  ε → N=~ë= → ∞ I==
å
 å 
ïÜÉêÉ==
p =áë=íÜÉ=ëìã=çÑ=ê~åÇçã=î~êá~ÄäÉëI=
å
å=áë=íÜÉ=åìãÄÉê=çÑ=éçëëáÄäÉ=çìíÅçãÉëK=
=
1274. `ÜÉÄóëÜÉî=fåÉèì~äáíó=
u
m ( − ≥ ε )u µ ≤ s ( ) I==
ε O
u
s
ïÜÉêÉ= ()=áë=íÜÉ=î~êá~åÅÉ=çÑ=uK=

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