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IB Mathematics: Applications and Interpretation SL · 13.2: Probability Distributions · 13.2.6

Mean, variance and binomial practice Problem set B Answers

Skills

    1. (a) 9
    2. (b) 7.2
    3. (c) 2.68
    1. (a) 0.152
    2. (b) 0.199
    3. (c) 0.552
    1. (a) 0.00184, 0.0205, 0.0951, 0.235, 0.328, 0.244, 0.0754
    2. (b) 4

In context

    1. (a) 0.240
    2. (b) 0.442
    1. (a) 0.161
    2. (b) 8
    3. (c) 0.407
    1. (a) The tubes are independent and each cracks with the same probability 0.03
    2. (b) Cracking may not be independent: a hot spot in the oven could crack the tubes close to it
    3. (c) 0.256
    1. (a) 0.335
    2. (b) 57

Stretch

    1. (a) 0.35
    2. (b) 0.122
    1. (a) n = 90, p = 0.3
    2. (b) 0.0914
    1. (a) 119.7
    2. (b) 122

jmaths.xyz · AI SL · 13.2.6 Mean, variance and binomial practice