
Bernoulli Trials
Hey guys I'm new to this forum and I am having some difficulty with a certain problem concerning Bernoulli Trials.
Eight Bernoulli Trials are performed with probability p for success. Pr(no success) = Pr(2 successes). Calculate p and the Pr(1 success)(simplify to fraction in lowest term)
Any help of this problem would be great. Thanks! (Hi)

The sum of N identical Bernoulli RV's is a binomial(N, p) [call the sum X], p being the parameter for the Bernoulli. The first step is to find p, which you can get by solving for the parameter p, noting that for the general binomial random variable that .