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IB Mathematics: Applications and Interpretation HL · 13.2: Probability Distributions · 13.2.13

Mixed practice: Poisson distribution Problem set B Answers

Skills

    1. (a) 0.157
    2. (b) 0.805
    1. (a) 0.446
    2. (b) 0.330
    3. (c) 0.0287
    1. (a) 0.593
    2. (b) 0.385
    3. (c) 0.455
    1. (a) 12.4
    2. (b) 12.4
    3. (c) 3.52

In context

    1. (a) Po(9)
    2. (b) 0.0970
    3. (c) 0.105
    1. (a) Po(9)
    2. (b) 0.197
    3. (c) A news story or a service fault makes people ring on both lines, so the two counts rise together.
    1. (a) 0.169
    2. (b) 0.00480
    1. (a) 0.799
    2. (b) 0.0472
    1. (a) 1.33
    2. (b) 0.616
    3. (c) Probably not: a storm can cause several cuts at once, and storms are more likely in some seasons.

Stretch

    1. (a) 1
    2. (b) 0.566
    3. (c) 0.215
    1. (a) 0.660
    2. (b) 0.191
    1. (a) 0.407
    2. (b) 0.0629
    3. (c) 73.9
    1. (a) Po(15.6)
    2. (b) 22

jmaths.xyz · AI HL · 13.2.13 Mixed practice: Poisson distribution