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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)
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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  = P(X = 0))
for the parameter p, noting that for the general binomial random variable that  = \binom{n}{x} p^x (1-p)^{n - x})
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