The random variable, X, has the probability density function $$f(x)=\left(\begin{matrix}kx^3 \ 0\end{matrix}\right)$$$$0\le x \le 2 - {otherwise} - $$
Find the probability that an observation lies withing one standard deviation of the mean.

Question

The random variable, X, has the probability density function $$f(x)=\left(\begin{matrix}kx^3 \ 0\end{matrix}\right)$$$$0\le x \le 2 -  {otherwise} - $$
Find the probability that an observation lies withing one standard deviation of the mean.

anonymous · Answer

k=1/4 btw

anonymous · Answer

can we use Chernoff's inequality?

anonymous · Answer

What's that?... I don't know it by name..

anonymous · Answer

http://en.wikipedia.org/wiki/Chernoff%27s_inequality

cristiann · Answer

Probability 0.7

anonymous · Answer

Let me just read it through and see if I understand everything, but it's the right answer.

anonymous · Answer

One question, what does M stand for?

anonymous · Answer

mean?

cristiann · Answer

Yes ... mean ... average ...

anonymous · Answer

Then I understand it. Thank you!

cristiann · Answer

E(X) in fact ... I've used another notation ...sorry...

cristiann · Answer

You are welcome ... :)

anonymous · Answer

That's fine. I know it as $$\mu$$ aswell

amistre64 · Answer

f(x)={{kx^3}\choose{0}}

might be an easier way to type that up
$$f(x)={ {kx^3}\choose{0}}$$