Let's say 5 masses are arranged on x axis.
At x=1, 2kg
X=2, 4kg
X=3, 6kg
X=4, 8kg
X=5, 10 kg
Obviously, there is a total mass of 30 kgIf the mass is distributed continuously by the function M(x) = 2x, then
From x= 0 to x=5, there is 25 kg of mass from the simple integral.
WHY IS THERE LESS...
Homework Statement
Suppose that X ~ N(μ,σ). Find a in terms of μ and σ if P(X>a) = 1/3 * P(X ≤a)
Homework EquationsThe Attempt at a Solution
1 - P(X ≤a) = 1/3 * P(X ≤a)
3 = 4P(X ≤a)
P(X ≤a) = 3/4
Since x0 = μ + σz0 where x0 and z0 are the same percentile for N(μ,σ) and N(0,1)...
I have some data that I want to do simple linear regression on.
However I don't have a lot of datapoints, and would like to know the uncertainty in the parameters. I.e. the slope and the intercept of the linear regression model.
I know it should be possible to get a prob. distribution of the...
Kind of the basic question of atomic physics is momentum distribution of single electron of ground state hydrogen atom - especially the power in its high-energy tail (HTMD: high-tail momentum distribution), which should have strong impact especially on various scattering experiments.
Fock's 1935...
Homework Statement
Accidents at a busy intersection follow a Poisson distribution with three accidents expected in a week.
What is the probability that at least 10 days pass between accidents?
Homework Equations
F(X) = 1- e-λx
μ = 1/λ
The Attempt at a Solution
Let x = amount of time between...
Hello,
can you help me? In my model, I have to simulate source distribution in two volumetric cells (30 and 31). For example, with a photon source of 356 keV, I have to simulate the distribution according 0.2 (20% in source 30: thyroid without nodule) and 0.8 (80% in source 31: nodule). I use...
1. The problem statement, all variables, and given/known data
Suppose you have a wire of length l and a uniform line charge density λ. Find the electric field at the midpoint that is height r above the x-axis
Homework Equations
(see attached)
The Attempt at a Solution
To solve, I used the...
Homework Statement
An ordinary die is painted red on two sides, white on two sides and blue on two sides. Find the probability we get no reds in 12 rolls of the die.
Homework EquationsThe Attempt at a Solution
GENERAL QUESTION:[/B]
I thought this would be a binomial distribution, but the book...
So I worked through the Boltzmann distribution and got:
$$
P\propto e^{\frac{-E}{k_BT}}
$$
Where $E$ is the energy. So surely this means the kinetic energy (and therefore speed) of particles is distributed over a Boltzmann distribution. Or in equation:
$$
P\propto e^{\frac{-mv^2}{2k_BT}}
$$...
I was browsing old threads at Physics Forums, and I came across some information in this thread from 2008 that got my interest. The thread is titled "Child molester avoids prison because he is short." PF member stickythighs wrote the following: "Since the average American man is 5'10", there...
Homework Statement
A company allows a maximum failure rate of 1 out of 250,000 parts. To insure this quality goal, failed parts must be how many standard deviations from the mean? Use Excel to solve.
Homework Equations
z= (X-μ)/σ
The Attempt at a Solution
Hi! So I'm assuming that this is a...
Hi all,
I am not sure this is the right forum, but I guess my question fits better here than in classical physics.
I am building a lightweight flooring in my utility room to store some "not very heavy" items. Two years back when my house was being finished, I installed two wooden wall plates...
The think is that I would like to create a magnetic trap "minimum of magnetic potential energy in all 3 directions of space" using a distribution of magnetic dipoles as a field generator.
In other words, I would like to know if setting in some way some magnetic dipoles is possible to create a...
Homework Statement
The random variable X is normally distributed. The values 650 and 850 are at the 60th and 90th percentile of the distribution of X respectively. Find the value of the 75th percentile of the distribution of X.
Homework Equations
I found the above formula from internet.
where...
Hello,
I have been thinking about this problem for a while, but I can't decide how it should be tackled statistically. I wonder if you can help, please.
Suppose that prostheses for hip replacement are sold mainly by 2 manufacturers, A and B.
Since they started being sold 20 years ago, 100 000...
Homework Statement
Consider a model thermodynamic assembly in which the allowed (nondegenerate) states have energies 0, ε, 2ε, 3ε.The assembly has four distinguishable (localized) particles and a total energy U = 6ε. Tabulate the nine possible distributions of the four particles among the...
<< Mentor Note -- Thread moved from the technical forums so no Homework Help Template is shown >>
I'm particle physics at the moment and I don't get why the average value of cosˆ2 is 1/3.
The section :
My solution is :
< cos^{2}(\alpha)> = \frac{1}{\pi - 0} \int_{0}^{\pi }...
Homework Statement
Hello,
this is more of a conceptual question than a concrete homework assignment question. I'm learning about Gauss's law and the Prof did an exercise on a sphere with uniform charge distribution, where he found E(r). The trick was, that E(r) was constant over the Gaussian...
Hello,
I am relatively new to Python. I would really like to use Python for numerical and data analysis. I recently stumbled upon something called Intel Distribution from this article: http://www.infoworld.com/article/3117239/data-science/intels-python-distribution-turbocharges-data-science.html...
Hi everyone
I'm having trouble with solving an exercise in statistical physics. I need to argue why the average number of particles with a velocity between ##v## and ##v+dv## that hit a surface area ##A## on the container wall in a time interval ##\Delta t## is $$N_{collision}=v_{x}A\Delta t...
I am currently enrolled in a statistics course, and the following is stated in my course book with no attempt at an explanation:
Suppose that f is the probability density function for the random variable (X,Y), and that F is the distribution function. Then,
f_{X,Y}(x,y)=\frac{\partial^{2}...
Homework Statement
In a certain region, the electric potential due to a charge distribution
is given by the equation V (x, y, z) = (3x2y2+yz3-2z3x)V0/a4 where
a, x, y, and z are measured in meters and V and V0 are in volts. What
is the magnitude of the electric field at the position (x, y, z)...
What is the current habitat range of Turritopsis dohrnii or the "immortal" jellyfish? I know that there are multiple species of the Turritopsis genus and that the species dohrnii have recently increased its range by ballast water spread. What is the current range of the exact species dohrnii?
hi, I am looking for a proof of weibull distribution, I have searched a lot but nothing is reasonable for the proof, so ıs there derivation of this distribution ? What is the origin of this distribution ?
Hi all,
Can anyone teach me this problem ? Thanks
The life of a tiger is exponentially distributed with a mean of 15 years.If a tiger is 10 years old, what is the expected remaining life of the tiger?
A 5 years
B 10 years
C 15 years
D Longer than 15 years
Rather than going off topic in a thread about inviscid fluid in a pipe, I decided to start a new thread.
For this thread, I'm wondering about the effect of a ducted propeller operating in the air. Using this NASA article as a guide:
https://www.grc.nasa.gov/WWW/K-12/airplane/propanl.html
The...
Suppose that cars pass a certain intersection at a rate of 30 miles per hour. What is the probability that during a three-minute interval, no cars will pass the intersection?
I am really just wondering which distribution to use. I thought is should be Poisson because it is asking for events...
Hello forum,
I'm hoping i can get some help figuring something out. I'm working on a project which requires a 4 wheel trolley frame to be designed to transport cargo. The basic dimensions of the trolley I've already determined based on the required need and ergonomic guidelines etc. Now i need...
Homework Statement
Homework Equations
[/B]
Definition: A sequence X_1,X_2,\dots of real-valued random variables is said to converge in distribution to a random variable X if \lim_{n\rightarrow \infty}F_{n}(x)=F(x) for all x\in\mathbb{R} at which F is continuous. Here F_n, F are the...
The number of chocolate chips in a bag of chocolate chip cookies is approximately normally distributed with a mean of 1263 chips and a standard deviation of 117chips.
(a) Determine the 26th percentile for the number of chocolate chips in a bag.
(b) Determine the number of chocolate chips in...
Homework Statement
The X-ray intensity distribution function for an X-ray lamp is
given on the figure. What is the maximum velocity of the electrons? What is the potential difference under which the lamp is operating? Figure: http://imgur.com/01kCBc8
Homework Equations
Kmax = 0.5m(vmax)^2...
My understanding of the distribution curves is very basic but I do have a couple of somewhat generic questions. I looked up a number of definitions but have had a hard time finding these specific answers:
- Is there an agreed on minimum number of samples that one needs to take to deem a result...
I was thinking about the "distribution" of a particle in space in different situations. An electron bound in a atom have a wave function that is broad.
What about the broadness of the wave function of conduction electrons in a wire? Or doesn't it even make sense to quantum-mechanicaly speak of...
Given this libreoffice command:
HYPGEOM.DIST(X; NSample; Successes; NPopulation; Cumulative)
>X is the number of results achieved in the random sample.
>NSample is the size of the random sample.
>Successes is the number of possible results in the total population.
>NPopulation is the size...
Hi everyone,
I am just wondering how to calculate electron distribution using tight binding band structure for a system like graphene or any other solid.
So the goal is to get |\psi(r)|^2 which \psi is the band state and it is the linear combination of Bloch sum...
Homework Statement
I don't understand why for the first case , the 0.4 and 0.6 is used ? for the second question , we can see that in the first case , the moment from BC is carried over to CB ( highlighted part - line 4 ) ... Why for the second case , the moment from BC (6325.8) isn't carried...
Hi.
How is three-phase electric power distributed in a household with mainly single-phase power plugs? Do they just connect a phase at random to every plug?
As far as I understood, it's best if all three phases deliver the same current, since then neutral cancels. Do electricians take into...
Homework Statement
Show that the FD distribution can be viewed as giving the probability that a given state ( of the prescribed
energy) is occupied.
Homework EquationsThe Attempt at a Solution
Solution to this problem:
I understand the solution,but I took a different approach...
Homework Statement
An electron has two spin states and a set of energy levels E1,E2,...
By the Fermi-dirac distrbution,the mean number of electrons in energy level Ek is
https://en.wikipedia.org/wiki/Fermi–Dirac_statistics#Distribution_of_particles_over_energy
Does it mean that,for an electron...
The Central Limit Theorem specifically calls out a sample mean to be following normal distribution (for n>=30 ), But I am referring to certain text, and it is calculating z values for sample skewness and sample kurtosis assuming that these follow Normal distribution. Is it correct?
In short...
The colloquial statistical mechanics explanation of entropy as if it is caused by probability is dissatisfying to me, in part because it allows highly organized (i.e. with a real potential for work) arrangements to appear as 'random fluctuations', though with very low probability. But as far as...
Homework Statement
Two components of a laptop computer have the following joint probability density function for their useful lifetimes X and Y (in years):
f(xy)=xe^(−x(1+y)) 0 <= x <= y
0 otherwise
Find the marginal probability density function of X, fX(x). Enter a formula below. Use * for...
Homework Statement
A metallic sphere of radius a is placed concentrically with a metallic spherical shell with inner radius b and outer radius c. The sphere has a total charge of 2Q and the shell has a total charge of 3Q.
(a) What is the charge distribution? Specifically, what is...
I am using fastjet in pythia8.I am studying jet formation in pp collisions.I need to plot distribution of transverse momentum of fastest particle in fastest jet formed in 1000 events simulated.But i don't know how to access particle properties after jet formation.Like if I want to know the...
Homework Statement
From differentiating Planck's distribution and setting it equal to 0 I've reached the equation below. But now I'm asked to estimate the solution for a/λ. It's suggested that we try to do it graphically/trial and error as it's tricky to do analytically.
I'm wondering how I...
Homework Statement
Charge Q is uniformly distributed along a thin, flexible rod of length L. The rod is then bent into the semicircle shown in the figure (Figure 1) .
Find an expression for the electric field E⃗ at the center of the semicircle.
Hint: A small piece of arc length Δs spans a...
I am unable to find a paper on this only the abstract, but it seems to be saying that there is no Dark Matter?
The tightness of this relation is difficult to understand in terms of dark matter as it's currently understood, the researchers said.
It also challenges the current understanding of...
Homework Statement
Homework Equations
Gauss
The Attempt at a Solution
I am really confused with question a, I have an idea of how to answer b and c once I obtain an answer for part a... My best guess would be to use Gauss, but I am not sure. Would the field inside be 0? What will the bounds...