11.10 Binomial Probability Formula

• This is a speicial type of probability computation
  • The experiment results in a yes or no (binary result)
  • We perform the experiment n times.
  • We want to find out the probability of succeeding x times.
• Read some of the problems, identify n, x and is the experiment binary?
• To compute this, we use the formula
  • $P(x) = (_nC_x)p^x(1-p)^{n-x}$
  • n is the number of trials
  • x is the number of successes
  • p is the probability of success
• Do some problems