The Poisson distribution

The Poisson distribution Quiz

Spec 2.1 · Edexcel A-Level Further Maths: Quiz

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  1. 1. X∼Po(2.5)X\sim\text{Po}(2.5). What is P(X=0)P(X=0)?

    • A. 0.2050.205
    • B. 0.9180.918
    • C. 0.08210.0821
    • D. 0.2870.287

  2. 2. Calls arrive at 8 per hour. Which distribution models the number in 15 minutes?

    • A. Po(15)\text{Po}(15)
    • B. Po(8)\text{Po}(8)
    • C. Po(120)\text{Po}(120)
    • D. Po(2)\text{Po}(2)

  3. 3. 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(5)\text{Po}(5)
    • B. Po(6)\text{Po}(6)
    • C. Po(2.5)\text{Po}(2.5)
    • D. Po(1)\text{Po}(1)

  4. 4. Which statement gives a condition needed for a Poisson model?

    • A. There is a fixed number of trials.
    • B. Events occur independently at a constant mean rate.
    • C. Each trial has exactly two outcomes.
    • D. The mean must be a whole number.

  5. 5. X∼Po(1.2)X\sim\text{Po}(1.2). Find P(X≥2)P(X\geq2).

    • A. 0.6630.663
    • B. 0.2170.217
    • C. 0.3370.337
    • D. 0.3010.301

Quiz