Cumulative Binomial Probability Calculation

00:00 4 marks

  • Exam Style - Paper 2
  • SL & HL
  • Tier 2
  • Binomial distribution
  • Cumulative probability
  • Calculator usage for binomial distributions

A factory produces light bulbs, and 10% of these bulbs are defective. In a random sample of 15 bulbs, calculate the probability that at most 2 bulbs are defective. You should use the cumulative binomial distribution function on your calculator.

Hint Hint

Hint

Remember that “at most 2” defective bulbs includes the cases of 0, 1, or 2 defective bulbs. Use the cumulative binomial distribution function to find P(X ≤ 2).

  • Answer Answer
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  • Explanation Explanation
  • Examiner Tips Examiner Tips
  • Common Errors Common Errors
  • Real World Context Real World Context
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  • Formula Booklet
  • Answer Answer

Complete Answer

Approximately 0.816

  • Mark Scheme Mark Scheme
  • Answer Explanation Answer Explanation
  • Examiner Tips Examiner Tips
  • Common Errors Common Errors
  • Focus Focus

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