Recent content by Kudasai

Let $f:[0,\infty)\to\mathbb R$ be a differentiable function such that for all $a>0$ exists a constant $M_a$ such that $|f'(t)|\le M_a$ for all $t\in[0,a]$ and $f(t)\xrightarrow[n\to\infty]{}0.$ Show that $f$ is uniformly continuous. Basically, I need to prove that $f$ is uniformly continuous...

Okay so I have for b) that $P(A)=1-P(A^c),$ so $P(A)=1-0.2=0.8.$ Is it correct? I think it's too easy to be correct. Thanks.

Two ping-pong players $A$ & $B$ play a series of 10 matches. The probability that $A$ wins any of the matches is $0.2$ a) If the probability that $A$ wins exactly $k$ matches in the series is $0.888$. What's the value of $k$? b) What's the probability that $A$ wins at least two matches...