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

Inverse normal and normal practice Problem set B Answers

Skills

  1. 23.4 s

  2. 2810 euros

  3. k = 47.3

    1. (a) 2.36 m
    2. (b) 2.44 m
    3. (c) 0.0809 m

  5. 0.0912

  6. About 127 pencils

  7. 22.2 m to 26.8 m

  8. μ = 66.7

In context

  1. 59.7 minutes

  2. €1 223.80

    1. (a) 0.0345
    2. (b) About 3.45% of the model's values are negative, which is impossible, so the model is not exact.
    1. (a) 0.106
    2. (b) 0.481
    3. (c) Each is independent, and the probability is the same each time.
    1. (a) 2.43
    2. (b) 0.109

Stretch

    1. (a) Median 32, Q1 = 29.3, Q3 = 34.7
    2. (b) 19, 29.3, 32, 34.7, 45: symmetric
    1. (a) 1.43
    2. (b) The mean is less than 2 standard deviations from 0, so the model gives a noticeable probability to impossible negative values.

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