1. What can be done if the values for a binomial distribution lie outside the binomial tables?

Either use the binomial formula

or

instead of finding the probability of a number of successes (with π) find the probability of the number of failures (with 1 − π)

2. How do I decide whether to use the binomial distribution?

Does the problem meet the four criteria:

  • There are only two possible outcomes (usually called successes or failures)
  • There are a fixed number of trials (n)
  • Each trial must be independent of the other trials
  • The probability of success (π) is fixed at each trial