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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.
What could you spell using some or all of these letters L O K N N R Z?
l o k n n r z: lo no non nor kor or lorn zonk
What is the FORTRAN program for pascal's triangle?
the logic i have used is nCr => n!/(r!*(n-r)!) for example the outer loop counter is 'n' and the inner loop counter is 'r' , then the corresponding element of the pascal's triangle will be nCr. keep in mind that both the loops will have to start from zero. #include<stdio.h> main() { int num,i,j,k,space; int difffact=1,diff,n,r,x,y,comb=0,nfact=1,rfact=1; printf("please enter the number of lines\n"); scanf("%d",&num); k=num-1; space=num-1; for(i=0;i<num;i++) { k=space--; for(;k>0;k--) { printf(" "); } for(j=0;j<=i;j++) { comb=0; nfact=1; rfact=1; difffact=1; for(n=i;n>=1;n--) nfact=nfact*n; for(r=j;r>=1;r--) rfact=rfact*r; diff=i-j; for(;diff>=1;diff--) difffact=difffact*diff; comb=(nfact/(rfact*difffact)); printf("%d ",comb); } printf("\n"); } }
Which letters have a sloping straight line?
B, D, E, F, H, I, K, L, M, N, P, R, T, (As capitals) b, d, h, i, k, l, m, n, p, q, r, (as small letters)
What are some seven letter words with 1st letter L and 3rd letter R and 5th letter K and 7th letter N?
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 1 words with the pattern L-R-K-N. That is, seven letter words with 1st letter L and 3rd letter R and 5th letter K and 7th letter N. In alphabetical order, they are: lordkin
What are some eight letter words with 1st letter R and 3rd letter L and 5th letter N and 8th letter K?
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 1 words with the pattern R-L-N--K. That is, eight letter words with 1st letter R and 3rd letter L and 5th letter N and 8th letter K. In alphabetical order, they are: rollneck
What are some eight letter words with 1st letter L and 3rd letter R and 5th letter K and 7th letter N?
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 1 words with the pattern L-R-K-N-. That is, eight letter words with 1st letter L and 3rd letter R and 5th letter K and 7th letter N. In alphabetical order, they are: lordkins
What 8 letter words can be made from the letters b e i k l l n n r s x and y?
blinkers, byliners
Which letter comes before R but after J?
k, l, m, n, o, p, or q
How do you spell the characters' names from SpongeBob SquarePants?
S - p - o - n - g - e - b - o - b s - q - u - a - r - e - p - a - n - t - s p - a - t - r - i - c - k s - t - a - r - r s - q - u - i - d - w - a - r - d t - e - n - t - a - c - l - e - s e - u - g - e - n - e k - r - a - b - s p - l - a - n - k - t - o - n g - a - r - y
How do you spell the word blanket?
B l a n k e t really?! wow you spelled it right.. Why the f***k r u asking this if ur spelled it right?
There are 7 letters between K and R in the alphabet?
False After K: its L(1), M(2), N(3), O(4), P(5), Q(6) Then its R.
