The Poisson distribution

The Poisson distribution Quiz

Spec 1.1–2 · Edexcel International A Level Further Maths: Quiz

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  1. 1. X∼Po(2.5)X\sim\text{Po}(2.5). What is Var(X)\text{Var}(X)?

    • A. 6.256.25
    • B. 1.581.58
    • C. 2.52.5
    • D. 55

  2. 2. Faults occur at random at a mean rate of 0.5 per metre of cable. Find the probability of exactly one fault in a 4 m length.

    • A. 0.2710.271
    • B. 0.3680.368
    • C. 0.1350.135
    • D. 0.4060.406

  3. 3. X∼Po(6)X\sim\text{Po}(6) and P(X≤3)=0.1512P(X\le3)=0.1512. Find P(X≥4)P(X\ge4).

    • A. 0.1510.151
    • B. 0.2850.285
    • C. 0.7150.715
    • D. 0.8490.849

  4. 4. X∼Po(2)X\sim\text{Po}(2) and Y∼Po(3)Y\sim\text{Po}(3) are independent. What is the distribution of X+YX+Y?

    • A. Po(6)\text{Po}(6)
    • B. Po(5)\text{Po}(5)
    • C. Po(1)\text{Po}(1)
    • D. Po(2.5)\text{Po}(2.5)

  5. 5. Cars pass a junction all day. Which is the best reason a Poisson model might not fit?

    • A. Cars are counted in whole numbers.
    • B. The mean number of cars is greater than 1.
    • C. The rate of cars changes between rush hour and the middle of the night, so it is not constant.
    • D. The count is taken over a fixed time.

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