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1. (8 pts) Show if a random variable XBin(n,p) with the pmf Pr(X=k)=(nk)pk(1p)nk, then limn(nk)pk(
1p)nk=k!ek for each value k=0,1,2,, and as p0 with np=.

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1 8 pts Show if a random variable XBinnp with the pmf .pdf

  • 1. 1. (8 pts) Show if a random variable XBin(n,p) with the pmf Pr(X=k)=(nk)pk(1p)nk, then limn(nk)pk( 1p)nk=k!ek for each value k=0,1,2,, and as p0 with np=.