Suppose you have 10 atoms of weberium: 4 with energy 0 eV,

Chapter 6, Problem 15P

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QUESTION:

Suppose you have 10 atoms of weberium: 4 with energy 0 eV, 3 with energy 1 eV, 2 with energy 4 eV, and 1 with energy 6 eV.

(a) Compute the average energy of all your atoms, by adding up all their energies and dividing by 10.

(b) Compute the probability that one of your atoms chosen at random would have energy E, for each of the four values of E that occur.

(c) Compute the average energy again, using the formula \(\bar{E}=\sum_{s} E(s) \mathcal{P}(s)\)

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QUESTION:

Suppose you have 10 atoms of weberium: 4 with energy 0 eV, 3 with energy 1 eV, 2 with energy 4 eV, and 1 with energy 6 eV.

(a) Compute the average energy of all your atoms, by adding up all their energies and dividing by 10.

(b) Compute the probability that one of your atoms chosen at random would have energy E, for each of the four values of E that occur.

(c) Compute the average energy again, using the formula \(\bar{E}=\sum_{s} E(s) \mathcal{P}(s)\)

ANSWER:

Step 1 of 5

The probability  of atoms chosen randomly among with an energy over the number of atoms is,

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