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

Mean, variance and binomial practice Problem set A Answers

Skills

    1. (a) 11.2
    2. (b) 7.28
    3. (c) 2.70
    1. (a) 0.173
    2. (b) 0.208
    3. (c) 0.575
    1. (a) 0.118, 0.303, 0.324, 0.185, 0.0595, 0.0102, 0.000729
    2. (b) 2

In context

    1. (a) 0.279
    2. (b) 0.693
    1. (a) 0.135
    2. (b) 7
    3. (c) 0.400
    1. (a) The parcels are independent and each is damaged with the same probability 0.04
    2. (b) Damage may not be independent: heavy parcels stacked in the same van can damage the parcels beneath them
    3. (c) 0.214
    1. (a) 0.461
    2. (b) 49

Stretch

    1. (a) 0.6
    2. (b) 0.0338
    1. (a) n = 50, p = 0.4
    2. (b) 0.115
    1. (a) 49.5
    2. (b) 52

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