Bernoulli Trials: the Bernoulli trial states that if there are two independent trials with two outcomes. Either True or False, Yes or No, Success or Failure, and Zero or One. The Bernoulli distribution is therefore given by:






Using expectation of Random Variables gives us a discrete case. 









Taking the derivatives so as to obtain the Mean and variance of the distribution. 










And that's it. As simple as ABC. Thank you for visiting Mymathware..