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

Mixed practice: Poisson distribution Problem set A Answers

Skills

    1. (a) 0.145
    2. (b) 0.792
    1. (a) 0.494
    2. (b) 0.884
    3. (c) 0.170
    1. (a) 0.578
    2. (b) 0.372
    3. (c) 0.457
    1. (a) 7.7
    2. (b) 7.7
    3. (c) 2.77

In context

    1. (a) Po(7)
    2. (b) 0.101
    3. (c) 0.174
    1. (a) Po(11.4)
    2. (b) 0.177
    3. (c) At busy times, such as a sale or bad weather, both doors get more customers, so the two counts rise and fall together.
    1. (a) 0.155
    2. (b) 0.00374
    1. (a) 1.20
    2. (b) 0.121
    1. (a) 2.10
    2. (b) 0.380
    3. (c) Probably not: landslides tend to come together after heavy rain, so they are not independent.

Stretch

    1. (a) 2
    2. (b) 0.733
    3. (c) 0.0157
    1. (a) 0.751
    2. (b) 0.198
    1. (a) 0.183
    2. (b) 0.243
    3. (c) 166
    1. (a) Po(14.8)
    2. (b) 21

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