User Aidan - Mathematics Stack Exchange

2 votes

2 answers

56 views

I've been struggling with this method of proving $E[X^2] > E[X]^2$.

asked Mar 1, 2023 at 22:36

1 vote

4 answers

72 views

Proof that $3 \mid 10^{n+2} - 2*10^n + 7, \forall n \in \mathbb{Z}^+$.

asked Mar 2, 2023 at 4:11

1 vote

0 answers

108 views

Proof that given a continuous random variable $X$ with density function $f(x)$ then $\mathbb E[g(X)] = \int_{-\infty}^{\infty} f(x)g(x)dx$.

asked Mar 21, 2023 at 2:07

1 vote

1 answer

74 views

Computing Jacobi Symbol without factoring. $\left(\frac{4764}{4987}\right)$ and $\left(\frac{-345}{5461}\right)$

asked Feb 29 at 20:58

1 vote

1 answer

126 views

Suppose $H_1$ and $H_2$ are subgroups of $G$. Suppose $a_1$ and $a_2$ are two elements of $G$ such that $a_1H_1 = a_2H_2$. Prove that $H_1 = H_2$.

asked Mar 12 at 21:33

1 vote

3 answers

291 views

If I deal 7 cards what is the probability that there is at least one card from each suit.

asked Feb 16, 2023 at 20:16

1 vote

1 answer

59 views

If $P(E \mid F) < P(E)$ does that mean that $P(F \mid E) < P(F)$.

asked Feb 26, 2023 at 23:32

1 vote

2 answers

74 views

I want to prove that knowing $P(A \mid C) > P(B \mid C)$ and $P(A \mid C^c) > P(B \mid C^c)$ then $P(A) > P(B)$.

asked Feb 27, 2023 at 21:24

1 vote

1 answer

88 views

Prove the The Cauchy--Schwarz--Buniakowski inequality using the fact that $E[X]^2 \le E[X^2]$.

asked Mar 1, 2023 at 1:55

0 votes

1 answer

31 views

Wondering if my probability proof is enough or if there is more that can be done.

asked Feb 27, 2023 at 0:55

0 votes

2 answers

178 views

Proof that $P(E \mid E \cup F) \geq P(E \mid F)$?

asked Feb 16, 2023 at 1:51

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11 Questions

I've been struggling with this method of proving $E[X^2] > E[X]^2$.

Proof that $3 \mid 10^{n+2} - 2*10^n + 7, \forall n \in \mathbb{Z}^+$.

Proof that given a continuous random variable $X$ with density function $f(x)$ then $\mathbb E[g(X)] = \int_{-\infty}^{\infty} f(x)g(x)dx$.

Computing Jacobi Symbol without factoring. $\left(\frac{4764}{4987}\right)$ and $\left(\frac{-345}{5461}\right)$

Suppose $H_1$ and $H_2$ are subgroups of $G$. Suppose $a_1$ and $a_2$ are two elements of $G$ such that $a_1H_1 = a_2H_2$. Prove that $H_1 = H_2$.

If I deal 7 cards what is the probability that there is at least one card from each suit.

If $P(E \mid F) < P(E)$ does that mean that $P(F \mid E) < P(F)$.

I want to prove that knowing $P(A \mid C) > P(B \mid C)$ and $P(A \mid C^c) > P(B \mid C^c)$ then $P(A) > P(B)$.

Prove the The Cauchy--Schwarz--Buniakowski inequality using the fact that $E[X]^2 \le E[X^2]$.

Wondering if my probability proof is enough or if there is more that can be done.

Proof that $P(E \mid E \cup F) \geq P(E \mid F)$?