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

The binomial distribution Problem set A Answers

Skills

    1. (a) Yes: X ~ B(24, 0.125)
    2. (b) No: the number of trials is not fixed
    3. (c) No: the chocolates are not replaced, so p changes and the trials are not independent
    4. (d) Yes: X ~ B(30, 0.05)
    1. (a) 0.198
    2. (b) 0.329
    3. (c) 0.0583
    4. (d) 0.651
    1. (a) 0.507
    2. (b) 0.890

In context

    1. (a) X ~ B(20, 0.07)
    2. (b) 0.252
    3. (c) 0.161
    4. (d) 0.755
    1. (a) The sweets are not replaced, so p changes and the trials are not independent
    2. (b) 0.545 compared with 0.583

Stretch

    1. (a) 0.720
    2. (b) 0.189

  2. The trials are not independent: a tree is more likely to be infected if its neighbour is

jmaths.xyz · AI HL · 13.2.4 The binomial distribution