Probability, The Binomial Distribution and the Normal Curve

• Binomial Distribution

  • The number of successes observed on n greater than or equal to 2 identical Bernoulli trials is called a binomial random variable, and its probability distribution is called a binomial distribution.
  • If we toss a fair coin 5 times, the probability of observing exactly r heads in n tosses is given by p(X=r)= nCrprqn-r
  • This gives the probability that the random variable X equals r heads. nCr is the combination of n objects taken r at a time. P is the probability of a success (a head), and q = (1-p).
  • Next - lets look at a particular example:

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