А.А. Кудрявцев - Пособие по теории вероятностей (1115312), страница 9
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. .C~=W nP(ξ ≤ 3)P(n1 ≤ ξ ≤ n2 ) n1 , n2 ∈ IN¾x%ÄSxax§ @ ¢tÁ¦D&]PFHGHNjm*Nj\*NPOHQHN]j\=bk=D&dHOHIdXWNj\*QHkHQHOH_ IFHGHNjm*Nj\=KHN^J.]rKSZEIGoR¦bt\D&RTQnCED&ξdJQ+D. FHI]^JILKHOHObfP(ξ = k) = C/[k(k + 1)(k + 2)] k = 1, 2, . . .~Hv ~=W nCP(ξ ≥ 3)P(n1 ≤ ξ ≤ n2 ) n1 , n2 ∈ IN¾x%ÄSxax @ ¦ça\=bk=D&dHO=DK§WNj\*QHkHQHO=DFHGHQHOHQHRaD&N^J)stO=DkHNPOHQKQ n¦Dξ−1 1]j\=bk=D&dHO=DKWNj\*QHkHQHO=D {}stO=DLkHNPOHQKn Q *:NPGHILKJOHI]^JQnη−1 0 1P(ξ = i, η = j)nnHsLDmD&f[J]rK]j\*Njm=bf[iNPdJD&v\*QHHNPdh[[[[[[i = −1, 1 j = −1, 0, 1b!cWde(fhgiKê.¢P(·, ·)η = −1ξ = −11/81/127/24ξ=15/241/61/8η=0 η=1éZ§¨¨Á˧@ä¼¾ CED&dJQG=D&]^FHGHNjm*Nj\*NtOHQK]j\=bk=D&dHOH_:VWNj\*QHkHQHO Q ξ η¾x%ÄSxTx¼ @ ¦ça\=bk=D&dHO=DKWNj\*QHkHQHO=DFHGHQHOHQHRaD&N^JqstO=DLkHNPOHQKQ nD−1 1]j\=bk=D&dHO=DK¨WNj\*QHkHQHO=D{ stO=DLkHNPOHQKn ξ Q a:NPGHILKJOHI]^JQη−1 0 1nnnsLDmD&f[J]KJD&v\*QHHNPdg @ CEDdJQ`G=D&P(ξ]PFHGHNj=m*Nji,\*NPηO=Q=Kj) i = −1, 1 j = −1, 0, 1]j\=bk=D&dHOH_:VWNj\*QHkHQHOQζ1 = ξ + η ζ2 = ξη¾x%ÄSxTxä @Ö CED&dJQ ]PIWRTNP]^JOHINzG=D&]PFHGHNjm*Nj\*NPOHQHN]j\=b.oP(ζ1 = i, ζ2 = j)k=D&dHOH_:VuWNj\*QHkHQHOQ nHIFHGHNjm*Nj\*NPOHOH_VWsLDmDLkHNS @ ζ1 ζ2¾x%ÄSxTx¥ @ *b]^Jl9]j\=bk=D&dHOH_-NSWNj\*QHkHQHOH_IFHQH]P_-W.D&f[J9GHNjoξ1 , .
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