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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 is ditloid 8 l on the e of the r?
8 legs on the empress of the racnoss
What is this ditloid 3 BGG in the N R?
3 Billy Goats Gruff in the Nursery Rhyme
What does the ditloid R B 112 K L mean?
River Boyne 112 kilometres long.
What does the formula n(1-R)L mean?
n(1-R)L is an expression: it is not a formula.
What is the formula for euqated monthly installment of loan amount?
Emi = l * r * ((1 + r)^n / (1 + r)^n - 1) * 1/12 where l = loan amt r = rate of interest n = no of terms
Who were the 12 dicsiples?
R a c h e l B r e e nH a n n a h B o l l a r dA s h t o n L o o n eN o r i k a C h y n o w e t hC a i t l i n S c o t tN a t a l i e W i l l i a m sM e g S o u t h a mS t e p h a n i e N e w i n g t o nE m m a H o a r eE m m i l i n e B r a d l e yJ e s s i c a F l o o dC a t h e r i n e H a n d l e y=)
What is 4 r a in a r?
This is a Ditloid. The answer is 4 Right Angles in a Rectangle.
What is the meaning of neo-literates?
A n e o - l i t e r a t e i s a n a d u l t o r a n adolescent who did not or could not make u s e o f t h e a v a i l a b l e e d u c a t i o n a l opportunities on time, and who at a later stage acquired the skills of literacy t h r o u g h f o r m a l o r n o n - f o r m a l approaches
What is the meaning of neo literates?
A n e o - l i t e r a t e i s a n a d u l t o r a n adolescent who did not or could not make u s e o f t h e a v a i l a b l e e d u c a t i o n a l opportunities on time, and who at a later stage acquired the skills of literacy t h r o u g h f o r m a l o r n o n - f o r m a l approaches
What word can i make with the letters n r i u n l?
run
How do you spell lern?
L-e-a-r-n.
