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Remy's user avatar
Remy's user avatar
Remy
  • Member for 7 years, 11 months
  • Last seen more than a week ago
20 votes
7 answers
9k views

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

8 votes
1 answer
6k views

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

6 votes
2 answers
3k views

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

5 votes
2 answers
144 views

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

5 votes
1 answer
74 views

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

5 votes
5 answers
1k views

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

4 votes
2 answers
271 views

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

4 votes
1 answer
193 views

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

4 votes
0 answers
58 views

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

3 votes
1 answer
272 views

Finding steady state equations of infinite-dimensional Markov Chain

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 $x>1$

3 votes
1 answer
147 views

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

3 votes
2 answers
124 views

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

3 votes
2 answers
2k views

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

3 votes
0 answers
48 views

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

3 votes
2 answers
302 views

Probability Involving Summing the Number on the Balls

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.

3 votes
1 answer
3k views

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

3 votes
3 answers
236 views

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

2 votes
4 answers
2k views

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

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

2 votes
1 answer
71 views

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

2 votes
1 answer
1k views

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

2 votes
2 answers
34k views

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

2 votes
1 answer
8k views

Definition of a Divergent Sequence

2 votes
1 answer
635 views

Chi-Squared Hypothesis Testing of Letter Frequency

2 votes
0 answers
350 views

Conditional Probability of Train Arriving on Time

2 votes
0 answers
104 views

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

2 votes
0 answers
84 views

Hypothesis Testing of Comparison of $2$ Treatments

2 votes
1 answer
476 views

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

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