If $X$ is a continuous random variable, then $P(a \le X \le b) = P(a < X \le b) = P(a \le X < b) = P(a < X < b)$. Why?
46170
Why is the probability that a continuous random variable takes a specific value zero?
39219
Understanding why conditional probability is defined the way it is.
124742
P(A|C)=P(A|B)*P(B|C)?
84092
If $id:(X,d_1)\to (X,d_2)$ is continuous then what will be $X$?
137879
Question about conditional probability and Baye's formula
144359
A random variable that induces a $\sigma$-algebra the same as the one in the sample space
25361
Intuition behind the Definition of Conditional Probability (for 2 Events)
105040
Probability Number A greater Number B
113362
Given a continuous random variable $X$ and the pdf find....
80009
Prove that $| |a|-|b| | \le |a-b|$
126227
continuity of a probability measure if $\mu (\{x\})=0$
34478
If $P(A \mid E) > P(B \mid E)$ and $P(A \mid \neg E) > P(B \mid \neg E)$, then is $P(A) > P(B)$ true?
20875
Is the product of two Gaussian random variables also a Gaussian?
25618
$x,y,z$ independent and uniform random on $[0,1]$, $P(x \geq  yz)$?
133228
Prove $(|x| + |y|)^p \le |x|^p + |y|^p$ for $x,y \in \mathbb R$ and $p \in (0,1]$.
138962
$X$ is a random variable, if $\Bbb E(X^2)=1$ and $\Bbb E(X)\geq a>0$, prove that $\Bbb P(X\geq\lambda a)\geq(a-\lambda a)^2$ for $0\leq\lambda\leq 1$.
71717
Is this always true: $P(A|B) = 1-P(A^c|B)$?