I am trying to make the link between the population variance, $\sigma^{2}$ and the sample variance $s^{2}$ with a particular example. Say I have a populat...

Let $\{X_t\}_{t\ge 0}$ be a Poisson Process with parameter $\lambda$. Suppose that each event is type 1 with probability $\alpha$ and type 2 with probabil...

How to calculate $$\sin(37°)$$ with a Taylor approximation accurate to 3 decimal digits? I know it is not a difficult question, but I have no answers of m...

Can someone check my work on this problem? I'd like to be able to figure out how fast cars are going by measure the time it takes to pass me, or for ...

Question: a) How many diamonds would you expect to be drawn if 9 cards are randomly selected from the deck? b) How many cards that are multiples of 3 card...

I've been trying to figure this out for several hours now and am having trouble finding the right solution. Given two points on a circle and the radi...

A standard iPhone has $10$ digits (ranging from $0$ to $9$) Consider a user who has oily fingers (which is normal for an average user) and he unlocks the ...

This question is from my friend. he think that there is trigonometry involved to this equation. $\sqrt{7+2\sqrt{7-2\sqrt{7-2x} } } =x$ that is from $\ \ \...

Sorry to sound incredibly ignorant, but I am...at least in math anyway. What does this symbol: $\int$ mean?

So we define a sequence as a sequence ${a_n}$ is said to converge to a number $\alpha$ provided that for every positive number $\epsilon$ there is a natur...