Question

What is the expected length of the hypotenuse formed by bending a unit length randomly at a right angle?

score 243 · Answer 1 · 2019-12-06 22:12:38

243

Views

What is the expected length of the hypotenuse formed by bending a unit length randomly at a right angle?

Published on 06 Dec 2019 - 22:12

score 95 · Answer 2 · 2019-12-08 01:03:07

95

Views

What is the expected length of the implied side and area formed by bending a unit length at a random point and angle?

Published on 08 Dec 2019 - 1:03

score 688 · Answer 3 · 2026-03-25 11:20:15

688

Views

Expected number of vertices in a convex hull

Published on 25 Mar 2026 - 11:20

score 204 · Answer 4 · 2019-12-09 21:22:45

204

Views

Expected value of number of steps until range reduced to a given fraction

Published on 09 Dec 2019 - 21:22

score 363 · Answer 5 · 2019-12-09 21:46:03

363

Views

Let $f(x,y)=1/2$ in square with vertices $(1,0),(0,1),(-1,0),(0,-1)$

Published on 09 Dec 2019 - 21:46

score 59 · Answer 6 · 2019-12-10 20:18:57

59

Views

Get $P(W^2 > Z > t) = \frac {1}{3} - t + \frac {2}{3} t^{3/2}$ where $t \in (0,1)$

Published on 10 Dec 2019 - 20:18

score 195 · Answer 7 · 2019-12-11 14:58:15

195

Views

distribution of an angle between random points

Published on 11 Dec 2019 - 14:58

score 76 · Answer 8 · 2026-03-27 18:27:53

76

Views

What is the expected perimeter of the quadrilateral implied by choosing points uniformly on each side of a unit square?

Published on 27 Mar 2026 - 18:27

score 130 · Answer 9 · 2019-12-13 22:22:31

130

Views

Compute the expectation of $\log|X|$ if $X$ is uniformly distributed on the unit ball.

Published on 13 Dec 2019 - 22:22

score 25 · Answer 10 · 2019-12-14 05:14:24

25

Views

Suppose that $X$ has a uniform distribution on $\left [ 0, \frac{1}{2} \right ]$. Then find pdf of $X^2$

Published on 14 Dec 2019 - 5:14

score 82 · Answer 11 · 2026-03-25 06:04:28

82

Views

Derive the pdf and cdf of $Z = \frac{X}{Y}$

Published on 25 Mar 2026 - 6:04

score 37 · Answer 12 · 2019-12-15 21:59:23

37

Views

Let $X_n$ have a continuous uniform distribution on $(0,n)$. Find $\lim_{n\to \infty} F_{X_n}(x)$ for $x>0$

Published on 15 Dec 2019 - 21:59

score 66 · Answer 13 · 2026-03-26 17:31:25

66

Views

Expected height of the highest tree in this random forest

Published on 26 Mar 2026 - 17:31

score 40 · Answer 14 · 2026-03-27 16:20:48

40

Views

Find Cov$(XZ,Z)$

Published on 27 Mar 2026 - 16:20

score 105 · Answer 15 · 2019-12-21 18:45:06

105

Views

distribution of intervals of samples of a distribution

Published on 21 Dec 2019 - 18:45

List Question

What is the expected length of the hypotenuse formed by bending a unit length randomly at a right angle?

What is the expected length of the implied side and area formed by bending a unit length at a random point and angle?

Expected number of vertices in a convex hull

Expected value of number of steps until range reduced to a given fraction

Let $f(x,y)=1/2$ in square with vertices $(1,0),(0,1),(-1,0),(0,-1)$

Get $P(W^2 > Z > t) = \frac {1}{3} - t + \frac {2}{3} t^{3/2}$ where $t \in (0,1)$

distribution of an angle between random points

What is the expected perimeter of the quadrilateral implied by choosing points uniformly on each side of a unit square?

Compute the expectation of $\log|X|$ if $X$ is uniformly distributed on the unit ball.

Suppose that $X$ has a uniform distribution on $\left [ 0, \frac{1}{2} \right ]$. Then find pdf of $X^2$

Derive the pdf and cdf of $Z = \frac{X}{Y}$

Let $X_n$ have a continuous uniform distribution on $(0,n)$. Find $\lim_{n\to \infty} F_{X_n}(x)$ for $x>0$

Expected height of the highest tree in this random forest

Find Cov$(XZ,Z)$

distribution of intervals of samples of a distribution

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