can someone show me an explained example of probability distribution please?

Question

zarkon · Answer

$$P(X=x)=p^{x}(1-p)^{1-x}$$

$$x\in\{0,1\}$$

$$0\le p\le1$$

anonymous · Answer

what does that all mean?

zarkon · Answer

it is a bernoulli random variable

zarkon · Answer

$$P(X=0)=(1-p)$$
$$P(X=1)=p$$

anonymous · Answer

what does everything resemble?

zarkon · Answer

{0,1} is the sample space

p is the probability of a 'success'

zarkon · Answer

you ever study the binomial distribution?

anonymous · Answer

honestly..  i can't answer that question..  but if i have then i don't remember it.  Its been a few good years since a math course (actually so long i dont remember how to use the graphing calc anymore) but I have to have finite math in order to take my last class to finish my degree

zarkon · Answer

ic...

the Bernoulli  distribution  is probably the simplest discrete distribution.

anonymous · Answer

whats the binomial distribution you were talking about?

zarkon · Answer

a bernoulli  dist is a binomial distribution with n=1

the dist is 

$$P(X=x)={n\choose x}p^x(1-p)^{n-x}$$

zarkon · Answer

if n=1 you get bernoulli

anonymous · Answer

lol im glad u understand.. math isnt my best subject

anonymous · Answer

i appreciate your help though

zarkon · Answer

sorry I couldn't be of more assistance.

anonymous · Answer

your fine..  i understand a lil more than i did before i posted

zarkon · Answer

good