Why is probability proportional to $ \ e^{-E/kT}$?
33126
Why does the Boltzmann factor $e^{-E/kT}$ seem to imply that lower energies are more likely?
77517
Why is this sum a representation of e?
48332
Why does the minimum value of $x^x$ equal $1/e$?
113612
Why does $P(\theta_1\mid D, \theta_2) \propto P(D \mid \theta_1, \theta_2)P(\theta_1)$ hold?
91297
How do we pass from proportionality back to equality in a Bayesian derivation?
82930
Why do we say a probability integral transformed variable is uniform on the interval [0, 1]?
35277
Why is $\mathbb{E}[X] = 1 + \sum^\infty_{k=1}\mathbb{P}(X > k)$ true?
40243
Pdf of the difference of two exponentially distributed random variables
135815
Why isn't there a uniform probability distribution over the positive real numbers?
55909
The expected value of $1/(1+X)$ where $X$ has geometric distribution
134508
Distribution of Ratio of Exponential and Gamma random variable
90944
Why do we want probabilities to be *countably* additive?
14764
Explain why $E(X) = \int_0^\infty (1-F_X (t)) \, dt$ for every nonnegative random variable $X$
48937
Intuition of pdf of a continuous random variable
125848
Intuition behind Probability Integral Transformation
136844
Mathematical induction question: why can we "assume $P(k)$ holds"?
1264
Find the probability of an event determined by an inequality on exponential random variables