The letters s n a t a l t e e r can be rearranged to make Alternates
Bracelet On You
"LAVENDER"
airline
rentals
The letters s n a t a l t e e r can be rearranged to make Alternates
adrenal
A . R . S . E . N . A . L
rectangle
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=)
volunteer
Bracelet On You
"LAVENDER"
E t e r n i t y e n d l e s s
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.
The eleven letter word is preliminary.
Inertly