STAT 3201 Lecture 10: Stats 2.8.17
8 Feb 2017
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Consider an experiment that has only two possible outcomes success and failure . Example: flip a coin once could get heads or tails. If we are interested in the number of heads in successive tosses, we may call h a success and t a failure . Example: election poll interested in the number of votes for candidate a; candidate. Many two outcome situations: heads/tails, democrat/republican, male/female, win/loss, success/failure, defective/non-defective. We often care about what happens when we observe a bernoulli random variable with the same p many times: example: toss a fair coin once. If i toss the coin n times, then i would generate a sequence of independent and identically distributed (iid) bernoulli random variables. What if we were interested in the number of heads in n tosses: let y = number of heads in n tosses. We call the random variable y (sum of iid bernoulli random variables or trials) a.
