13 Players in a Rugby League Team
R l r l r l l r r r r there you go
ballroom
paraple
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.
R. L. P. Verley has written: 'Oscillations of cylinders in waves and currents' 'Oscillations of a cylinder in still water'
p..r..o..p..o..s..a..l
Supercalifrigilisticexpialidocious.
parlor
The correct spelling is A-P-P-R-O-V-A-L.
S-U-P-E-R-C-A-L-I-F-R-A-G-I-L-I-S-T-I-C-E-X-P-I-A-L-I-D-O-C-I-O-U-S
S u p e r c a l i f r a g i l i s t i c e x p i a l i d o c i o u s
s-u-p-e-r-c-a-l-f-r-a-g-i-l-i-s-t-i-c-e-x-p-i-a-l-i-d-o-c-i-o-u-s!