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IB Mathematics: Applications and Interpretation SL · 13.2: Probability Distributions · 13.2.1

Discrete random variables and distribution tables Problem set B Answers

Skills

    1. (a) x = 0, 1, 2: 0.4225, 0.455, 0.1225
    2. (b) 0.5775
    1. (a) P(X = x) = 1/12 for every score
    2. (b) 1/4
    3. (c) 1/3
    1. (a) 0.26
    2. (b) 0.6
    3. (c) 0.14
    1. (a) x = 0, 1, 2, 3: 0.512, 0.384, 0.096, 0.008
    2. (b) 0.104

In context

    1. (a) x = 0, 1, 2: 5/12, 1/2, 1/12
    2. (b) 7/12
    1. (a) x = 0, 1, 2, 3: 0.729, 0.243, 0.027, 0.001
    2. (b) 0.271
    1. (a) 0.09
    2. (b) 0.46
    3. (c) 0.478 (= 11/23)

Stretch

    1. (a) k² + 3k − 0.31 = 0
    2. (b) k = 0.1
    3. (c) 0.89
    1. (a) x = 0, 1, 2, 3: 5/28, 15/28, 15/56, 1/56
    2. (b) 23/28
    3. (c) 15/46 = 0.326

jmaths.xyz · AI SL · 13.2.1 Discrete random variables and distribution tables