Thread: Bernoulli Trials

dsg

I think the state space is {0 ,1,2,3......} because this is the number of trials needed to get the first success?




P{Xn=1} = p
P{Xn=0} = q

i think again??



and for c is it something to do with teh sum of between 1 and 0 nCn P^x(1-p)1-x?

Originally Posted by Sam1985

Hi people I only recently discovered this forum and I think its a great idea.

I am stuck on this question any help would me much appreciated:

Consider asequence of bernoulli trials with probability of success p. Let random variable X be the number of trials needed to get the 1st success.

Is the state space of random variable X [success,failure]?

What would be the probability distribution of X?

What's the mean value of X?

Research the geometric distribution.