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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 A Answers

Skills

    1. (a) x = 0, 1, 2: 0.09, 0.42, 0.49
    2. (b) 0.91
    1. (a) P(X = x) = 1/10 for every score
    2. (b) 3/10
    3. (c) 2/5
    1. (a) 0.28
    2. (b) 0.53
    3. (c) 0.19
    1. (a) x = 0, 1, 2, 3: 0.064, 0.288, 0.432, 0.216
    2. (b) 0.648

In context

    1. (a) x = 0, 1, 2: 1/6, 5/9, 5/18
    2. (b) 5/6
    1. (a) x = 0, 1, 2, 3: 27/64, 27/64, 9/64, 1/64
    2. (b) 37/64
    1. (a) 0.12
    2. (b) 0.57
    3. (c) 0.526 (= 10/19)

Stretch

    1. (a) k² + 3k − 0.64 = 0
    2. (b) k = 0.2
    3. (c) 0.76
    1. (a) x = 0, 1, 2, 3: 1/35, 12/35, 18/35, 4/35
    2. (b) 34/35
    3. (c) 9/17 = 0.529

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