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IB Mathematics: Applications and Interpretation HL · 13.2: Probability Distributions · 13.2.9

Inverse normal and normal practice Problem set A Answers

Skills

  1. 191 cm

  2. 121

  3. k = 124

    1. (a) 23.8 minutes
    2. (b) 28.2 minutes
    3. (c) 4.32 minutes

  5. 0.212

  6. About 35 strawberries

  7. 30.4 s to 32.4 s

  8. μ = 43.1

In context

  1. 47.0 minutes

  2. €729.00

    1. (a) 0.0432
    2. (b) About 4.32% of the model's values are negative, which is impossible, so the model is not exact.
    1. (a) 0.0228
    2. (b) 0.206
    3. (c) Each is independent, and the probability is the same each time.
    1. (a) 5.32
    2. (b) 0.0662

Stretch

    1. (a) Median 75, Q1 = 71.0, Q3 = 79.0
    2. (b) 60, 71.0, 75, 79.0, 91: symmetric
    1. (a) 1.68
    2. (b) The mean is less than 2 standard deviations from 0, so the model gives a noticeable probability to impossible negative values.
    1. (a) μ = 12.5, σ = 2.94
    2. (b) 0.114

jmaths.xyz · AI HL · 13.2.9 Inverse normal calculations and normal practice