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IB Mathematics: Applications and Interpretation HL · 13.2: Probability Distributions · 13.2.4

The binomial distribution Problem set B Answers

Skills

    1. (a) Yes: X ~ B(20, 0.3)
    2. (b) No: the number of trials is not fixed
    3. (c) No: the tiles are not replaced, so p changes and the trials are not independent
    4. (d) Yes: X ~ B(40, 0.18)
    1. (a) 0.177
    2. (b) 0.329
    3. (c) 0.173
    4. (d) 0.472
    1. (a) 0.855
    2. (b) 0.537

In context

    1. (a) X ~ B(18, 0.11)
    2. (b) 0.189
    3. (c) 0.128
    4. (d) 0.594
    1. (a) No pupil is chosen twice, so p changes and the trials are not independent
    2. (b) 0.421 compared with 0.450

Stretch

    1. (a) 0.636
    2. (b) 0.197

  2. The trials are not independent: a pupil is more likely to have flu if a roommate has it

jmaths.xyz · AI HL · 13.2.4 The binomial distribution