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3. Give brief answers (a) Consider a neutral, homogenous fluid. What are the natural variables for...

3. Give brief answers

(a) Consider a neutral, homogenous fluid. What are the natural variables for its grand potential? Write down the differential form of the grand potential in terms of these natural variables. (e) Consider a random variable X with real values x uniformly distributed between 0 and 10. What is the probability of finding x in the interval [3, 15] (i.e., the interval 3 ≤ x ≤ 15) ?

(b) Consider a random variable X with real values x uniformly distributed between 0 and 10. What is the probability of finding x in the interval [3, 15] (i.e., the interval 3 ≤ x ≤ 15) ?

This is a thermal and statistical physics question kindly help answer thanks!

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