4.17 Poisson distribution

4.17 Poisson distribution Quiz

IB Maths: Applications and Interpretation HL: Quiz

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5 questions, one answer each

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  1. 1. X∼Po(2.5)X\sim\mathrm{Po}(2.5). What is the variance of XX?

    • A. 2.52.5
    • B. 2.5\sqrt{2.5}
    • C. 6.256.25
    • D. 55

  2. 2. Typing errors occur independently at an average rate of 33 per page. What is the distribution of the errors on 22 pages?

    • A. Po(1.5)\mathrm{Po}(1.5)
    • B. Po(3)\mathrm{Po}(3)
    • C. Po(9)\mathrm{Po}(9)
    • D. Po(6)\mathrm{Po}(6)

  3. 3. X∼Po(1.2)X\sim\mathrm{Po}(1.2) and Y∼Po(2.8)Y\sim\mathrm{Po}(2.8) are independent. What is the distribution of X+YX+Y?

    • A. Po(4)\mathrm{Po}(4)
    • B. Po(2)\mathrm{Po}(2)
    • C. Po(3.36)\mathrm{Po}(3.36)
    • D. Po(1.6)\mathrm{Po}(1.6)

  4. 4. A random variable counts successes in 2020 independent trials, each with probability 0.30.3. Which model is suitable?

    • A. Poisson
    • B. Normal
    • C. Uniform
    • D. Binomial

  5. 5. For X∼Po(3)X\sim\mathrm{Po}(3), which expression gives P(X≥2)\mathrm{P}(X\ge2)?

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

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