I'm looking at my math textbook and it says for discrete distribution where the range is from a to b, $$f(x) = \frac{1}{b-a+1}$$ While for continuous...

In a "math structures" class at the community college I'm attending (uses the book Discrete Math by Epp, and is basically a discrete math "light" edi...

I have searched for it in Wikipedia and this site and I haven't found it yet. What I have found isn't complete enough -maybe a short list of ten...

Can we find the exact value(not numerical/approximation) of sin 1? I tried to do so by solving a cubic equation using Cardano formula but I ended up with ...

For some $x$, $\sqrt{x^2} = |x|$ However, for $x= -1$. $\sqrt{(-1)^2} = (-1^2)^{1/2} = (-1)^{2/2} = (-1)^1 = -1$ Isn't this paradoxical?

In calculus, if a function is differentiable at a point $c$, then it is continuous at $c$, but that the converse of this statement is not true (for exampl...

Let $H( \cdot | \cdot )$ denote the conditional entropy of a random variable. Proof that $H(X|X) = 0$ Please avoid intuitive arguments. I do have the intu...

Assume $n$ variables $\{X_i\}_{i=1}^n$ are independently drawn from the same Gaussian distribution. Then, we define the empirical mean by $\bar{X}=\frac{1...

Why is it necessary for a linearly independent set of vectors to not contain the zero vector? I am looking with the definition perspective i.e. why do we ...

** A sporting goods store sells 90 ski jackets in a season for $275 each. Each $15 decrease in the price results in five more jackets being sold. What is ...