User JohnK

67 votes

The Intuition behind l'Hopitals Rule

answered Nov 28, 2013 at 18:59

55 votes

What are the most overpowered theorems in mathematics?

answered Nov 9, 2013 at 11:02

19 votes

Accepted

Jointly Gaussian uncorrelated random variables are independent

answered Dec 17, 2013 at 0:08

19 votes

Deriving Moment Generating Function of the Negative Binomial?

answered Jun 26, 2014 at 15:49

11 votes

Prove $\sin^2\theta + \cos^2\theta = 1$

answered Dec 14, 2013 at 22:44

10 votes

Did Gauss ever make a mistake?

answered Nov 28, 2013 at 23:42

8 votes

Expected value of the product of functions of two independent random variables

answered Feb 7, 2014 at 22:47

5 votes

Conditional distribution of order statistics

answered Mar 25, 2015 at 1:31

4 votes

How to solve $4^x+\sin(x)=10$

answered Jun 6, 2015 at 0:40

4 votes

Show that $\{f : [0, 1] \rightarrow [0, 1] : |f(t) − f(s)| \leq |t − s|$, $ \forall s, t \in [0, 1]\}$ is compact.

answered Aug 5, 2021 at 21:31

4 votes

Proof of binomial coefficient formula.

answered Nov 13, 2013 at 10:56

4 votes

What is the simplest proof of the pythagorean theorem you know?

answered Oct 26, 2013 at 15:50

3 votes

Limit superior of $Y_1 + \ldots, Y_n$ with $Y_i$ bounded, i.i.d. and $\Pr(Y_1 \neq 0)>0$.

answered Mar 29, 2022 at 11:17

2 votes

Power method convergence proof

answered Jul 14, 2019 at 12:10

2 votes

Proof of $(\forall x)(x^2+4x+5 \geqslant 0)$

answered Oct 25, 2013 at 15:17

2 votes

There are 6 cards with letters a, c, e, i, m, n in a box. Somebody picks cards in a random order.What is the probability of getting the word “cinema”?

answered Oct 24, 2013 at 21:42

2 votes

Accepted

Hypergeometric die toss

answered Oct 25, 2013 at 13:35

2 votes

Prove $\mathop {\lim }\limits_{n \to \infty } {{n - 1} \over {n + 1}} = 1$

answered Dec 1, 2013 at 11:11

2 votes

Deriving Mean and Variance of Laplace Distribution

answered Sep 7, 2014 at 15:08

2 votes

Accepted

Self study on probability and statitistics

answered Dec 16, 2013 at 21:37

1 vote

If X has beta distribution, how do you show that 1 - X also has beta distribution with parameters switched?

answered Dec 9, 2013 at 19:52

1 vote

Use implicit differentiation to find dy/dx

answered Dec 14, 2013 at 14:26

1 vote

supremum and infimum of a bounded and decreasing sequence

answered Dec 27, 2013 at 9:52

1 vote

Accepted

Show that as $d$ goes to $\infty$, a standardized version of $X$ has the STD Normal Dist

answered Jan 29, 2014 at 20:54

1 vote

Accepted

A sharpshooters hit a target with a probability of $\frac{3}{4}$

answered Sep 9, 2014 at 18:49

1 vote

If every subsequence has a further subsequence that converges to $x$, then the sequence converges to $x$

answered Jul 14, 2017 at 13:32

1 vote

Use the binomial theorem to show that for any positive integer $n$, $\displaystyle\sum_{i=0}^{n} {n \choose i} = 2^n$.

answered Sep 10, 2014 at 13:23

1 vote

What kind of distribution is this and how do I calculate the expected value

answered Sep 7, 2014 at 9:21

1 vote

Accepted

Change of Variable Technique help

answered Feb 9, 2014 at 9:34

1 vote

delta method question

answered Mar 6, 2014 at 11:23

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48 Answers

The Intuition behind l'Hopitals Rule

What are the most overpowered theorems in mathematics?

Jointly Gaussian uncorrelated random variables are independent

Deriving Moment Generating Function of the Negative Binomial?

Prove $\sin^2\theta + \cos^2\theta = 1$

Did Gauss ever make a mistake?

Expected value of the product of functions of two independent random variables

Conditional distribution of order statistics

How to solve $4^x+\sin(x)=10$

Show that $\{f : [0, 1] \rightarrow [0, 1] : |f(t) − f(s)| \leq |t − s|$, $ \forall s, t \in [0, 1]\}$ is compact.

Proof of binomial coefficient formula.

What is the simplest proof of the pythagorean theorem you know?

Limit superior of $Y_1 + \ldots, Y_n$ with $Y_i$ bounded, i.i.d. and $\Pr(Y_1 \neq 0)>0$.

Power method convergence proof

Proof of $(\forall x)(x^2+4x+5 \geqslant 0)$

There are 6 cards with letters a, c, e, i, m, n in a box. Somebody picks cards in a random order.What is the probability of getting the word “cinema”?

Hypergeometric die toss

Prove $\mathop {\lim }\limits_{n \to \infty } {{n - 1} \over {n + 1}} = 1$

Deriving Mean and Variance of Laplace Distribution

Self study on probability and statitistics

If X has beta distribution, how do you show that 1 - X also has beta distribution with parameters switched?

Use implicit differentiation to find dy/dx

supremum and infimum of a bounded and decreasing sequence

Show that as $d$ goes to $\infty$, a standardized version of $X$ has the STD Normal Dist

A sharpshooters hit a target with a probability of $\frac{3}{4}$

If every subsequence has a further subsequence that converges to $x$, then the sequence converges to $x$

Use the binomial theorem to show that for any positive integer $n$, $\displaystyle\sum_{i=0}^{n} {n \choose i} = 2^n$.

What kind of distribution is this and how do I calculate the expected value

Change of Variable Technique help

delta method question