Showing $ \mathbb{P}\Big( \frac{\Pi - \lambda}{\sqrt{\lambda}}\leq x \Big) $
75645
Proof of $\frac{Y^{\lambda}-\lambda}{\sqrt{\lambda}}\to Z\sim N(0,1)$ in distribution as $\lambda\to\infty$?
155190
Stone-Weierstrass theorem with $p(1/x)$
101286
How show that $|a_{n}-1|\le c\lambda ^n,\lambda\in (0,1)$
102286
Compute $\mathbb{P}\{ W_t < 0 \, \, \text{for all} \, \, 1 < t < 2\}$ for a Brownian motion $(W_t)_{t \geq 0}$
53244
Prove that $p \in \mathbb{R}[x]$ can be represented as a sum of squares of polynomials from $\mathbb{R}[x]$
97968
Does $\big|\sum_{k=1}^na_k\big|\leq\sqrt{n}$ imply the convergence of $\sum_{1}^\infty \frac{a_k}{k}$?
86635
Optimizing $(X_{n}+c)^{2}$ to show that $P(\overline{X}_{n}\geq \lambda) \leq E(X_{n}^{2})/(EX_{n}^{2}+ \lambda^{2})$
138819
Prove that $\phi(n) \geq \sqrt{n}/2$
113080
Prove $\tan\big(\frac{\pi}{2} -\theta \big) = \cot \theta$
7105
Prove that $\prod\limits_{i=1}^n \frac{2i-1}{2i} \leq \frac{1}{\sqrt{3n+1}}$ for all $n \in \Bbb Z_+$
66610
Finding a correspondence between $\{0,1\}^A$ and $\mathcal P(A)$
94119
Prove that $xy \leq\frac{x^p}{p} + \frac{y^q}{q}$
7389
Finding the limit of $\frac{Q(n)}{P(n)}$ where $Q,P$ are polynomials
46760
To show that $P(|X-Y| \leq 2) \leq 3P(|X-Y| \leq 1)$
80826
To prove $\left|\frac{p_n(z)}{q_m(z)}\right|\leq \frac{M}{|z|^{m-n}}$ for some $M>0$
121548
proof of an inequality $ \left( 1+ \frac{x}{p} \right) ^{p}$
19167
Show that $X_{n}\sim N(\sin(\pi n),1)$ is uniformly tight