Lesson N1

N1 Discrete probability distributions and the binomial distribution Quiz: AQA Maths, Unit 11

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson N1, Discrete probability distributions and the binomial distribution: 20 multiple choice questions for the AQA Maths (7357), Unit 11: Statistics, written with Revision Ninja.

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The 20 questions

  1. In a binomial distribution model, what must remain constant across all trials?

    • Expected frequency
    • Sample variance
    • Success probability
    • Number of successes

  2. For X ~ B(n, p), which expression gives P(X = x)?

    • p^x (1 - p)^x
    • nCx p^(n - x) (1 - p)^x
    • n p^x (1 - p)^(n - x)
    • nCx p^x (1 - p)^(n - x)

  3. In the binomial distribution notation B(n, p), what does the parameter n represent?

    • Number of successes
    • Number of trials
    • Probability of success
    • Expected value

  4. Which notation means X follows a binomial distribution with 10 trials and probability of success 0.3?

    • X ~ B(0.3, 10)
    • X ~ B(10, 0.3)
    • X ~ B(3, 10)
    • X ~ N(10, 0.3)

  5. What is the sum of all probabilities in a discrete probability distribution?

    • 0
    • 1
    • 0.5
    • 100

  6. X ~ B(5, 0.2). What is P(X = 0), to three decimal places?

    • 0.672
    • 0.328
    • 0.410
    • 0.200

  7. X ~ B(4, 0.5). What is P(X = 2)?

    • 0.500
    • 0.625
    • 0.375
    • 0.250

  8. X ~ B(6, 1/3). What is P(X = 1)?

    • 1/3
    • 32/243
    • 6/729
    • 64/243

  9. X ~ B(10, 0.4). What is P(X <= 1), to three decimal places?

    • 0.605
    • 0.040
    • 0.645
    • 0.355

  10. X ~ B(3, 0.5). What is P(X >= 1)?

    • 0.375
    • 0.125
    • 0.875
    • 0.500

  11. A fair coin is tossed 8 times. What is the probability of exactly 5 heads?

    • 3/16
    • 7/32
    • 5/16
    • 1/32

  12. A player hits 60% of shots independently. In 5 shots, what is the probability of exactly 3 hits?

    • 0.6000
    • 0.0768
    • 0.2304
    • 0.3456

  13. X ~ B(4, 0.15). What is P(X = 3), to four decimal places?

    • 0.0034
    • 0.0510
    • 0.4096
    • 0.0115

  14. X ~ B(20, 0.1). What is P(X = 0), to three decimal places?

    • 0.122
    • 0.018
    • 0.270
    • 0.878

  15. X ~ B(3, 0.2). What is P(X >= 2)?

    • 0.384
    • 0.616
    • 0.104
    • 0.896

  16. A fair coin is tossed 6 times. What is the probability of getting exactly 3 heads?

    • 20/64
    • 1/64
    • 6/64
    • 15/64

  17. A factory finds 5% of items defective. In a sample of 20 items, what is the probability of at most 1 defective item?

    • 0.358
    • 0.264
    • 0.736
    • 0.377

  18. X ~ B(3, p). If P(X = 0) = 0.216, what is p?

    • 0.1
    • 0.4
    • 0.216
    • 0.6

  19. X ~ B(4, 0.25). What is P(X = 4)?

    • 0.3164
    • 0.0039
    • 0.0625
    • 0.2500

  20. Why is sampling without replacement from a small population non-binomial?

    • Trials are continuous
    • Outcome is fixed
    • Variance is zero
    • Trials are dependent

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