3. What is the numerical value of the mode of the Maxwell-Boltzmann speed distribution as derived...
Consider gas molecules in the earth's atmosphere which obey the Maxwell speed distribution law, m 3/2 P(v) = 41 27 KT 2KT Here m is the mass of the molecule, v is the speed and k is Boltzmann's constant. (a) Find the temperature T, such that the most probable speed is sufficient to escape the earth's gravitational pull. (b) What is this temperature for hydrogen gas?
part b and c In class we derived a Fokker-Planck equation for the velocity distribution P(et) starting from the assumption of small random changes in velocity at each time step f.(t) where f(t) is chosen from a distribution WU: ). Einstein's original approach to Brownian motion had a different starting point, focusing on position differences at each time step x(t + Δt)-x(t) + E(t) where £(t) is a random displacement chosen from some distribution W(E). Underlying this ap- proach is...
3. What are the two microscopic traffic stream parameters? 4. In speed-flow-density relationships, we use which speed? (space mean speed)/ (time mean speed) 5. Time headway is the time difference between bumpers/rear bumpers 6. The speed limit on a highway is set based on 85a percentile speed. True /False 7. You should be able to identify the following basic q-u-k relationships (shape), what's on x and what's on y, and salient points on the curves. of two successive vehicles. Front...
If you could include an explanation that would be appreciated! Problem Value: 3 point(s). Problem Score: 0 %. Attempts Remaining: 3 attempts. (3 points) A news report states that the 99% confidence interval for the mean number of daily calories consumed by participants in a medical study is (1800, 1980). Assume the population distribution for daily calories consumed is normally distributed and that the confidence interval was based on a simple random sample of 21 observations. Calculate the sample mean,...
Problem 3 The goal of the problem is to test simple financial model. One of basic measures ofrisk for return of the asset X is "Value at Risk 5%", denoted as VaRs, such value that (a) Assuming uniform distribution X UI-4:6] find Vak" (b) Once Value at Risk is calculated based on some model (in our example Uniform), it may be backtested once real sample data is obtained. When return X, is less than -Va", it is named "hit". In...
Unit 6 Lesson 3 Classwork (Adapted from Math Vision Project) Data Distribution A lot of information can be obtained from looking at data plots and their distributions. It is important when describing data that we use context to communicate the shape, center, and spread. Shape and spread: Modes: uniform (evenly spread- no obvious mode), unimodal (one main peak), bimodal (two main peaks), or multimodal (multiple locations where the data is relatively higher than others). Skewed distribution: when most data is...
Unit 6 Lesson 3 Classwork (Adapted from Math Vision Project) Data Distribution A lot of information can be obtained from looking at data plots and their distributions. It is important when describing data that we use context to communicate the shape, center, and spread. Shape and spread: Modes: uniform (evenly spread- no obvious mode), unimodal (one main peak), bimodal (two main peaks), or multimodal (multiple locations where the data is relatively higher than others). Skewed distribution: when most data is...
Solve please only point C Problem 3 The goal of the problem is to test simple financial model. One of basic measures of risk for return of the asset X is "Value at Risk 5%", denoted as VR. such value that P(X<-VaR 0.05 (a) Assuming uniform distribution X UI-4;6] find Vak? (b) Once Value at Risk is calculated based on some model (in our example Uniform), it may be backtested once real sample data is obtained. When return X, is...
4. Setup: Suppose you have observations X1,X2,X3,X4,X5 which are i.i.d. draws from a Gaussian distribution with unknown mean μ and unknown variance σ2. Given Facts: You are given the following: 15∑i=15Xi=0.90,15∑i=15X2i=1.31 Bookmark this page Setup: Suppose you have observations X1, X2, X3, X4, X5 which are i.i.d. draws from a Gaussian distribution with unknown mean u and unknown variance o? Given Facts: You are given the following: x=030, =1:1 Choose a test 1 point possible (graded, results hidden) To test...