Unit 4: Statistics and Probability
Topic 4.8: Binomial Distribution Questions
Practice 20 exam-style questions for IB Math AA SL Topic 4.8. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.
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2024
In a video game, each action a player takes earns a bonus with probability , independently of other actions. Find the probability that the player earns at least one bonus in the first eight actions.
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counts the seeds that sprout in a tray. Find the variance of .
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A printer jams on a run with probability , independently of other runs. Find the probability that it jams at least once in runs.
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models the number of faulty chargers in a crate. Find the mean and the variance of .
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X ~ B(40, 0.15). Find the mean and the variance.
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A fair coin is tossed 64 times. Find the expected number of heads and the standard deviation of the number of heads.
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A spinner lands on red with probability 0.45. It is spun 200 times. Find the expected number of reds and the variance.
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In a large delivery, 6% of tiles are cracked. A sample of 200 tiles is taken. Find the expected number cracked and the standard deviation.
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A fair coin is tossed 100 times. Find the standard deviation of the number of heads.
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A quiz gives correct guesses, and the mean is 14. Find and the variance.
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A fair die is rolled 8 times. Find the probability of getting at least one six.
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A robot picks up a part successfully with probability on each attempt, independently. It makes attempts. Find the probability that it succeeds at least twice.
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2026
A multiple-choice quiz has 10 questions, each with 4 options; a student guesses every answer. Find the probability of getting exactly 3 correct.
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