User Remy

20 votes

7 answers

9k views

Sequence that is neither increasing, nor decreasing, yet converges to 1

asked Sep 19, 2016 at 23:36

8 votes

1 answer

6k views

Jacobian Transformation to find joint pdf of $Y_1$ and $Y_2$

asked Nov 28, 2017 at 19:26

6 votes

2 answers

3k views

Probability of ending on a certain point of a circle after randomly moving clockwise or counterclockwise, in succession.

asked Sep 30, 2017 at 17:44

5 votes

2 answers

142 views

Finding $\operatorname{E}(X)$ given that $\operatorname{E}(X) = \operatorname{var}(X)$, $\operatorname{E}(Y) = \operatorname{var}(Y)$, and $Y=3X+3$

asked Oct 2, 2017 at 1:08

5 votes

1 answer

74 views

Negative Binomial with $4$ white faces before $3$ black faces

asked Oct 3, 2017 at 22:29

5 votes

5 answers

1k views

Probability of getting at least one of each balls from an urn

asked Sep 16, 2017 at 2:59

4 votes

2 answers

267 views

Picking $4$ balls from $16$ balls. Chance that we get exactly $2$ different colors?

asked Sep 16, 2017 at 21:03

4 votes

1 answer

189 views

What is the probability that a random ordering of the $7$ integers results in one run up followed by one run down?

asked Sep 6, 2017 at 22:02

4 votes

0 answers

58 views

Median of limiting distribution is the limit of medians when $X_n\overset{d}{\rightarrow}X$ [duplicate]

asked Oct 9, 2021 at 20:13

3 votes

1 answer

226 views

Finding steady state equations of infinite-dimensional Markov Chain

asked Feb 27 at 3:28

3 votes

0 answers

75 views

Check computation of limit distribution of $\max\{X_1, \ldots , X_n\}/\sqrt n$ for i.i.d. $(X_i)$ with PDF $2/x^3$ on $x>1$

asked Sep 24, 2018 at 22:26

3 votes

1 answer

147 views

MLE of $\mu$ given $X_1\sim \mathsf N(\mu, 4)$ and $X_2\sim \mathsf{N}(\mu, 16)$

asked Sep 15, 2018 at 19:43

3 votes

2 answers

118 views

Showing that $a_n= 3^{n}+ 4^{n+1}+ 5^{n+2}$ is a solution of the recurrence relation $a_n = 12a_{n−1} − 47a_{n−2}+ 60a_{n−3}$

asked Oct 14, 2017 at 21:25

3 votes

2 answers

2k views

Probability that the minimum is $2$ and the maximum is $5$ after rolling a die $4$ times

asked Nov 14, 2017 at 3:11

3 votes

0 answers

48 views

$P(X_{(2)}>2)$ given $f_X(x) =\frac{2}{x^3}I_{(1,\infty)}(x)$

asked Nov 24, 2017 at 21:43

3 votes

2 answers

289 views

Probability Involving Summing the Number on the Balls

asked Sep 20, 2017 at 1:16

3 votes

1 answer

1k views

Prove that A is dense in ℝ if for every open set U of ℝ there exists a point of A in U.

asked Oct 24, 2016 at 19:25

3 votes

1 answer

3k views

Example of a Function that is not Riemann Integrable but |f| is [duplicate]

asked Nov 21, 2016 at 20:59

3 votes

3 answers

234 views

Prove that $\lim_{n\to \infty}\int_{0}^{\pi/6}{\sin}^{n}x~dx$ = 0

asked Nov 21, 2016 at 21:40

2 votes

4 answers

2k views

Showing that $\sin x<x$ using the Mean Value Theorem

asked Dec 5, 2016 at 19:06

2 votes

1 answer

2k views

Prove that if two sequences converge to the same value but their image sequences converge to different values, then the limit DNE

asked Oct 26, 2016 at 19:40

2 votes

1 answer

71 views

Prove that $lim_{x\to 0}$ f(x) DNE

asked Oct 26, 2016 at 21:09

2 votes

1 answer

1k views

Prove that $[2,4)$ is not compact.

asked Oct 17, 2016 at 17:47

2 votes

2 answers

32k views

How do I show that if $f : [0,1] \to [0,1]$ is continuous, then there is some $c$ such that $f(c) = c$?

asked Nov 2, 2016 at 19:51

2 votes

1 answer

620 views

Chi-Squared Hypothesis Testing of Letter Frequency

asked Apr 26, 2017 at 14:57

2 votes

0 answers

348 views

Conditional Probability of Train Arriving on Time

asked Sep 24, 2017 at 2:43

2 votes

0 answers

104 views

Probability of a biased coin obtaining its second heads or seconds tails on the $6^\text{th}$ toss

asked Oct 8, 2017 at 22:01

2 votes

0 answers

84 views

Hypothesis Testing of Comparison of $2$ Treatments

asked Sep 30, 2017 at 22:07

2 votes

1 answer

469 views

Finding $cdf$ of the sample minimum, $X_{(1)}$

asked Nov 7, 2017 at 21:32

2 votes

1 answer

181 views

Limiting distribution of $V_n=\sqrt{n}\cdot \text{min}{\{X_1, X_2, . . . , X_n}\}$ where $f_X(x) =\frac{2}{x^3}I_{(1,\infty)}(x)$

asked Sep 25, 2018 at 19:40

Stack Exchange Network

138 Questions

Sequence that is neither increasing, nor decreasing, yet converges to 1

Jacobian Transformation to find joint pdf of $Y_1$ and $Y_2$

Probability of ending on a certain point of a circle after randomly moving clockwise or counterclockwise, in succession.

Finding $\operatorname{E}(X)$ given that $\operatorname{E}(X) = \operatorname{var}(X)$, $\operatorname{E}(Y) = \operatorname{var}(Y)$, and $Y=3X+3$

Negative Binomial with $4$ white faces before $3$ black faces

Probability of getting at least one of each balls from an urn

Picking $4$ balls from $16$ balls. Chance that we get exactly $2$ different colors?

What is the probability that a random ordering of the $7$ integers results in one run up followed by one run down?

Median of limiting distribution is the limit of medians when $X_n\overset{d}{\rightarrow}X$ [duplicate]

Finding steady state equations of infinite-dimensional Markov Chain

Check computation of limit distribution of $\max\{X_1, \ldots , X_n\}/\sqrt n$ for i.i.d. $(X_i)$ with PDF $2/x^3$ on $x>1$

MLE of $\mu$ given $X_1\sim \mathsf N(\mu, 4)$ and $X_2\sim \mathsf{N}(\mu, 16)$

Showing that $a_n= 3^{n}+ 4^{n+1}+ 5^{n+2}$ is a solution of the recurrence relation $a_n = 12a_{n−1} − 47a_{n−2}+ 60a_{n−3}$

Probability that the minimum is $2$ and the maximum is $5$ after rolling a die $4$ times

$P(X_{(2)}>2)$ given $f_X(x) =\frac{2}{x^3}I_{(1,\infty)}(x)$

Probability Involving Summing the Number on the Balls

Prove that A is dense in ℝ if for every open set U of ℝ there exists a point of A in U.

Example of a Function that is not Riemann Integrable but |f| is [duplicate]

Prove that $\lim_{n\to \infty}\int_{0}^{\pi/6}{\sin}^{n}x~dx$ = 0

Showing that $\sin x<x$ using the Mean Value Theorem

Prove that if two sequences converge to the same value but their image sequences converge to different values, then the limit DNE

Prove that $lim_{x\to 0}$ f(x) DNE

Prove that $[2,4)$ is not compact.

How do I show that if $f : [0,1] \to [0,1]$ is continuous, then there is some $c$ such that $f(c) = c$?

Chi-Squared Hypothesis Testing of Letter Frequency

Conditional Probability of Train Arriving on Time

Probability of a biased coin obtaining its second heads or seconds tails on the $6^\text{th}$ toss

Hypothesis Testing of Comparison of $2$ Treatments

Finding $cdf$ of the sample minimum, $X_{(1)}$

Limiting distribution of $V_n=\sqrt{n}\cdot \text{min}{\{X_1, X_2, . . . , X_n}\}$ where $f_X(x) =\frac{2}{x^3}I_{(1,\infty)}(x)$