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Why is it said that poisson distribution is a limiting case of binomial distribution?
This browser is totally bloody useless for mathematical display but...The probability function of the binomial distribution is P(X = r) = (nCr)*p^r*(1-p)^(n-r) where nCr =n!/[r!(n-r)!]Let n -> infinity while np = L, a constant, so that p = L/nthenP(X = r) = lim as n -> infinity of n*(n-1)*...*(n-k+1)/r! * (L/n)^r * (1 - L/n)^(n-r)= lim as n -> infinity of {n^r - O[(n)^(k-1)]}/r! * (L^r/n^r) * (1 - L/n)^(n-r)= lim as n -> infinity of 1/r! * (L^r) * (1 - L/n)^(n-r) (cancelling out n^r and removing O(n)^(r-1) as being insignificantly smaller than the denominator, n^r)= lim as n -> infinity of (L^r) / r! * (1 - L/n)^(n-r)Now lim n -> infinity of (1 - L/n)^n = e^(-L)and lim n -> infinity of (1 - L/n)^r = lim (1 - 0)^r = 1lim as n -> infinity of (1 - L/n)^(n-r) = e^(-L)So P(X = r) = L^r * e^(-L)/r! which is the probability function of the Poisson distribution with parameter L.
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What is Pick 'n Pay Stores's population?
The population of Pick 'n Pay Stores is 50,000.
What is pick n pay's entrepreneurial qualities?
what uis pick n pay entrepreneurial qualities
When was Pick 'n' Mix created?
Pick 'n' Mix was created on 2000-09-11.
If l is greater than m and m is greater than n then what is the relationship between the values of l and n?
If l > m and m > n then l > n by the transitive property of inequality.
What comes first l or n?
L comes before N
Prove that the sequence n does not converge?
If the sequence (n) converges to a limit L then, by definition, for any eps>0 there exists a number N such |n-L|N. However if eps=0.5 then whatever value of N we chose we find that whenever n>max{N,L}+1, |n-L|=n-L>1>eps. Proving the first statement false by contradiction.
What does pick 'n 'mix mean?
Choose or pick what you want then mix what you pick
If l is greater than m and m is greater than n what is the relationship between the values l and n?
l is greater than n
When was Pick 'n Pay Grocery Store created?
Pick 'n Pay Grocery Store was created in 1925.
Pick n pay swot analysis?
swot analysis of pick n pay
