Poisson Definition and 509 Threads

ok, so on average, there is a chromosome mutation link once every 10,000 baby births. approximate the probability that exactly 3 of the next 20,000 babies born will have the mutation. so using poisson distribution, I let p = 1/10,000 n = 20,000. and use formula (e^(-np) * (np)^k /...

Dear all, Please help me to solve the following problems about Poisson brackets. Let M be a 2n-manifold and w is a closed non-degenerate di®eren- tial 2-form. (Locally we write w = w_ij dx^i ^ dx^j with [w_ij ] being a non-degenerate anti-symmetric real matrix-valued local function on M)...

Hello In my text the following question is posed: ON a city street, car backfires are heard 8 times per hour. Use the poisson distribution to find an exact expression for the prob. that a car backfire is heard at most once in a given hour. Do not simplify or evaluate your answer. Now...

From this reference: titled From Classical to Quantum Mechanics, I quote the following: ( \xi^i are coordinate functions) Let M be a manifold of dimension n. If we consider a non-degenerate Poisson bracket, i.e. such that \{\xi^i,\xi^j\} \equiv \omega^i^j is an inversible...

I've heard something about Poisson summation in relation to Fourier analysis, but I can't seem to find any good info on the subject... Can anyone explain what "Poisson summation" is? Furthermore, I would like to know exactly what "Parsevals identity" states and how it is applied. Thanks.

in a town, one of a hundred occupants loves fishing. what is the minimum occupants must be chosen so that the probability that there is at least one occupant who loves fishing is more than 0.7? i hope u understand the question, because I am doing some direct translation from my language to...

Hi, I'm trying to prove if X~Po(m) => 2X~Po(2m) But I'm not sure how to prove or disprove it. I'm thinking about using the addition formula, but is this the right approach? X_1~Po(m) X_2~Po(n) X_1+X_2~Po(m+n) n=m => X_1=X_2 => 2X_1~Po(2m) Any help is appreciate. Thanks /farbror

A star was measured to have an apparent magnitude m=16 with S/N=10 integrated over a minute. What is the uncertainty in the measurement? signal=flux*area*time noise=sqrt(signal)=sqrt(fAt) So, S/N=sqrt(fAt) How can I find fA? m=-2.5logfAt+K 16=-2.5log(fAt)+K Hoping that K is arbitrary...

If you have a lottery (Megamillions) and you sell 20,000,000 tickets, the probability of them all losing is given by: (135,145,919/135,145,920)^20,000,000 = 0.862448363 A close approximation is given by: e^-(20,000,000/135,145,920) = 0.8624413 I just learned this from a book. That's...