Using the probability distribution in Exercise 8.6, write down an expression for the average energy.

Using the probability distribution in Exercise 8.6, write
down an expression for the average energy of the neutrons in the distribution.
How does the average energy compare to the most probable energy EMP?

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Exercise 8.6

Using the probability distribution you derived in Exercise
8.5, write an expression for the number of neutrons N having an energy greater
than 0.025 eV with an average temperature of 600 K.

Exercise 8.5

Suppose that N(E) is the number of neutrons in a volume of
space where a Maxwell–Boltzmann probability distribution applies. Write down an
expression for the total number of neutrons in the distribution having an
energy between E and E + dE.

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