Poisson model and probabilities

Poisson model and probabilities Quiz

Spec SB1–SB3 · AQA A-Level Further Maths: Quiz

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5 questions, one answer each

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  1. 1. X∼Po(4)X\sim\mathrm{Po}(4). Find P(X=3)\mathrm{P}(X=3).

    • A. 0.19540.1954
    • B. 0.14650.1465
    • C. 0.43350.4335
    • D. 0.07330.0733

  2. 2. X∼Po(3)X\sim\mathrm{Po}(3). Which expression gives P(X≥2)\mathrm{P}(X\ge2)?

    • A. 1−P(X≤2)1-\mathrm{P}(X\le2)
    • B. 1−P(X=2)1-\mathrm{P}(X=2)
    • C. 1−P(X≤1)1-\mathrm{P}(X\le1)
    • D. P(X≤1)\mathrm{P}(X\le1)

  3. 3. X∼Po(9)X\sim\mathrm{Po}(9). What is the standard deviation?

    • A. 99
    • B. 8181
    • C. 4.54.5
    • D. 33

  4. 4. Cars pass a point at a mean rate of 3 per minute. The number in 5 minutes is modelled by

    • A. Po(3)\mathrm{Po}(3)
    • B. Po(15)\mathrm{Po}(15)
    • C. Po(0.6)\mathrm{Po}(0.6)
    • D. Po(8)\mathrm{Po}(8)

  5. 5. Which situation breaks a condition of the Poisson model?

    • A. Faults occur singly in a long roll of cloth
    • B. Emails arrive at a constant average rate
    • C. Customers arrive in coach parties of about 20
    • D. Typing errors are independent of one another

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