Question

FInd CDF of $X$ if: $P(X<1)=P(X>2)=0, P(X=1)=P(X=2),P(a<X<b)=\tfrac{b^3-a^3}{14}$ for $1\leq a<b\leq2$

score 33 · Answer 1 · 2026-03-25 09:43:06

33

Views

FInd CDF of $X$ if: $P(X<1)=P(X>2)=0, P(X=1)=P(X=2),P(a<X<b)=\tfrac{b^3-a^3}{14}$ for $1\leq a<b\leq2$

Published on 25 Mar 2026 - 9:43

score 764 · Answer 2 · 2020-02-26 07:22:46

764

Views

Prove that a linear map is an isomorphism iff the image set of the basis of V is a basis of W.

Published on 26 Feb 2020 - 7:22

score 1k · Answer 3 · 2026-04-03 05:15:11

1k

Views

Proof by induction: $2^{2n}-1$ is a multiple of $3$

Published on 03 Apr 2026 - 5:15

score 205 · Answer 4 · 2026-03-25 12:49:49

205

Views

Find the CDF if $P(X=1)=\frac{1}{2}$ and $P(a<X<b|X\ne1)=\frac{b-a}{2}$ for $0\leq a<b\leq2$

Published on 25 Mar 2026 - 12:49

score 557 · Answer 5 · 2020-02-26 11:54:24

557

Views

Prove holomorphic $f$ is constant if given $f'(z)=0$ only on a curve

Published on 26 Feb 2020 - 11:54

score 100 · Answer 6 · 2020-02-26 12:01:49

100

Views

IVP $xuu_x+yuu_y=xy$

Published on 26 Feb 2020 - 12:01

score 268 · Answer 7 · 2020-02-26 12:46:15

268

Views

If $\{X_n\}$ is a positive sequence with $L \gt 1$, show that $X$ is not bounded and hence is not convergent

Published on 26 Feb 2020 - 12:46

score 98 · Answer 8 · 2020-02-26 13:19:47

98

Views

Question about a ring homomorphism

Published on 26 Feb 2020 - 13:19

score 140 · Answer 9 · 2020-02-26 14:13:50

140

Views

Prove that $g$ has an antiderivative on $D$ iff $R=\mathrm{Res}(f,z_0)$.

Published on 26 Feb 2020 - 14:13

score 833 · Answer 10 · 2020-02-26 14:22:58

833

Views

The sum of the dimensions of the kernel and image set equals the dimension of the vector space

Published on 26 Feb 2020 - 14:22

score 114 · Answer 11 · 2026-03-25 22:24:52

114

Views

Proving $l^{\infty}$ not separable.

Published on 25 Mar 2026 - 22:24

score 65 · Answer 12 · 2026-03-27 22:55:20

65

Views

Prove that $\operatorname{cf} \alpha \le \lvert \alpha \rvert$ for $\alpha$ limit

Published on 27 Mar 2026 - 22:55

score 310 · Answer 13 · 2020-02-26 17:20:11

310

Views

Corollary of The Rank-Nullity Theorem

Published on 26 Feb 2020 - 17:20

score 89 · Answer 14 · 2020-02-26 17:36:29

89

Views

Find the open intervals where $f'(x)=9x^2-4$ is increasing and decreasing

Published on 26 Feb 2020 - 17:36

score 66 · Answer 15 · 2020-02-26 18:04:13

66

Views

Find where $f(x)=\frac{x^2+4}{x^2-4}$ is concave upwards and concave downwards

Published on 26 Feb 2020 - 18:04

List Question

FInd CDF of $X$ if: $P(X<1)=P(X>2)=0, P(X=1)=P(X=2),P(a<X<b)=\tfrac{b^3-a^3}{14}$ for $1\leq a<b\leq2$

Prove that a linear map is an isomorphism iff the image set of the basis of V is a basis of W.

Proof by induction: $2^{2n}-1$ is a multiple of $3$

Find the CDF if $P(X=1)=\frac{1}{2}$ and $P(a<X<b|X\ne1)=\frac{b-a}{2}$ for $0\leq a<b\leq2$

Prove holomorphic $f$ is constant if given $f'(z)=0$ only on a curve

IVP $xuu_x+yuu_y=xy$

If $\{X_n\}$ is a positive sequence with $L \gt 1$, show that $X$ is not bounded and hence is not convergent

Question about a ring homomorphism

Prove that $g$ has an antiderivative on $D$ iff $R=\mathrm{Res}(f,z_0)$.

The sum of the dimensions of the kernel and image set equals the dimension of the vector space

Proving $l^{\infty}$ not separable.

Prove that $\operatorname{cf} \alpha \le \lvert \alpha \rvert$ for $\alpha$ limit

Corollary of The Rank-Nullity Theorem

Find the open intervals where $f'(x)=9x^2-4$ is increasing and decreasing

Find where $f(x)=\frac{x^2+4}{x^2-4}$ is concave upwards and concave downwards

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