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The energy of any individual particle in a certain system is an independent random variable with probability density fun

Posted: Tue Nov 23, 2021 9:25 am
by answerhappygod
The Energy Of Any Individual Particle In A Certain System Is An Independent Random Variable With Probability Density Fun 1
The Energy Of Any Individual Particle In A Certain System Is An Independent Random Variable With Probability Density Fun 1 (135.47 KiB) Viewed 78 times
The energy of any individual particle in a certain system is an independent random variable with probability density function: Eo > 0 fE(E) = E < 0 The total system energy is the sum of the energies of the individual particles. 2e-2E0 { 0 4a. If there are 10 particles in the system, determine an exact, closed form expression for the PDF for the total energy in the system. 4b. Compare the second and fourth moments of the answer to (a) with those resulting from a central-limit-theorem approximation. Hint: The fourth moment of N(u, o2) is: 44 + 60j? + 304