If $g(x)$ is my density function, then $g(x_0)$ is simply $P(X=x_0)$?
39123
What does the value of a probability density function (PDF) at some x indicate?
155190
Stone-Weierstrass theorem with $p(1/x)$
140451
What am I doing wrong? Joint Density of sum of random variables!
19246
Finding Distribution function from probability density function
107507
Probability density function of a product of uniform random variables
98823
Let $g:\mathbb{R}\to\mathbb{R}$ be a measurable function such that $g(x+y) =g(x)+g(y).$ Then $g(x) = g(1)x$ .
149792
Show that $\lim_{p \to 0} \mathbb {E} [(X^p-1)/p ] = \mathbb{E} [\log X]$
52755
Rewriting the probability density function as a probability function
88676
Proof verification : $X_n \to X$ in distribution, $Y_n \to 0$ in probability $\implies$ $X_nY_n \to 0$ in probability
54549
How do I compute the density of R?
128639
Homoskedasticity Assumption: Var(y|x)=Var(u|x)=constant?
91287
Is $G/pG$ is a $p$-group?
41100
Density of sum of two independent uniform random variables on $[0,1]$
126937
If $X$ has a $U[-1, 3]$ distribution and $Y = X^2$, find the probability density function of $Y$ .
43462
Disprove $\mathcal{P}(A\Delta B) \setminus \{\emptyset\} = \mathcal{P}(A) \Delta\mathcal{P}(B) $. Is my proof good?
5350
Explain why $E(|X|^p)=p\int_{0}^{\infty}y^{p-1}P(|X|>y) dy$
140259
Find the value of $g'(0)$.