My textbook shows the following step.. $$\large{F_{T}(t) = \int_{-\infty}^{\infty} \frac{1}{\sqrt{2 \pi}}e^{\frac{-y^{2}}{2}} \left(\int_{-\infty}^{t|y|} ...

A prime number not equal to $2$ and $5$ can't have last digit equal to $2,4,5,6$ and $8$. Is it true that this is the only restriction on last digits...

Suppose $X$ is a random variable with mean $\mu$ and variance $\sigma^2.$ Let $$Z = \frac{X-\mu}{\sigma}.$$ Derive the expected value and variance of $Z$....

The following problem was posed to me but I could not do much about it: Determine if there are any integer solutions to the equation $a^3+b^3+c^3=30$ I ma...

Let $P$ be a stochastic matrix and $E$ the $n\times n$ identity matrix. Assume that $P^q$ = $E$ for some integer $q \geq 2$, but $P \neq E$. Find a steady...

I use “Desmos” app on my Android to plot functions. Is there any app by which I can draw rectangle on the graphs like this:

I'm sorry if this is an extremely simple question, but I'm honestly having a hard time understanding a theorem in my geometry book. Here is the ...

I need to simplify $(p \vee r) \wedge (\neg p \vee \neg r)$ (if possible and using the laws of logic) I tried to substitue $s: (\neg p \vee r)$ but that m...

I know that it is possible to B-orthogonalize a matrix X via a standard LLT decomposition: 1) M = XTBX 2) U = chol(M) 3) answer = XU-1 How can I use LDLT ...

$A^2$ means to multiple the matrix by itself, and $A^{-1}$ refers to the matrix's inverse. Would $A^{-2}$ be the square of the inverse or the inverse...