The binomial distribution

The binomial distribution Quiz

Spec N1 · AQA A-Level Maths: Quiz

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  1. 1. Which is NOT a condition for a binomial distribution?

    • A. There is a fixed number of trials
    • B. Each trial has two outcomes
    • C. The probability of success changes from trial to trial
    • D. The trials are independent

  2. 2. X∼B(8,0.5)X\sim B(8,0.5). Find P(X=2)P(X=2).

    • A. 0.03130.0313
    • B. 0.10940.1094
    • C. 0.25000.2500
    • D. 0.21880.2188

  3. 3. X∼B(5,0.2)X\sim B(5,0.2). Find P(X≥1)P(X\ge1).

    • A. 0.6720.672
    • B. 0.3280.328
    • C. 0.20.2
    • D. 0.80.8

  4. 4. For X∼B(10,0.4)X\sim B(10,0.4), which expression gives P(X≥3)P(X\ge3)?

    • A. 1−P(X≤3)1-P(X\le3)
    • B. 1−P(X≤4)1-P(X\le4)
    • C. P(X≤2)P(X\le2)
    • D. 1−P(X≤2)1-P(X\le2)

  5. 5. The number of rainy days in a week is modelled as B(7,0.3)B(7,0.3). Which assumption is most questionable?

    • A. The number of days is fixed at 7
    • B. Rain on one day is independent of rain on the next
    • C. Each day is either rainy or not
    • D. The probability is between 0 and 1

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