Statistics › Section D · Discrete random variables › Topic D.3

The binomial distribution

Flip, check, guess - whenever a fixed number of independent yes-or-no trials produces a count of successes, the binomial distribution gives the exact probabilities of every possible count. It is the workhorse of discrete probability.

In this topic

  • Counting successes
  • Binomial settings: check BINS
  • The binomial formula
  • Mean and standard deviation
  • Worked example: exactly three heads in five flips
  • Worked example: defectives in a sample
  • "At least" questions
  • Shape of binomial distributions
  • Common mistakes to avoid
  • Key takeaways

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