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Exercise 13

Avg difficulty 3.0

Joint and conditional probabilities. P(A) = 0.3, P(B) = 0.7

  1. Can you compute P(A and B) if you only know P(A) and P(B)?

  2. Assuming that events A and B arise from independent random processes,

    1. what is P(A and B)?

    2. what is P(A or B)?

    3. what is P(A∣|B)?

  3. If we are given that P(A and B) = 0.1, are the random variables giving rise to events A and B independent?

  4. If we are given that P(A and B) = 0.1, what is P(A∣|B)?

Diez, Barr & Çetinkaya-Rundel, OpenIntro Statistics, Probability, End-of-Chapter Exercises, Exercise 13

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Adapted from OpenIntro Statistics © 2019 David Diez, Mine Çetinkaya-Rundel & Christopher D. Barr. Licensed under CC BY-SA 3.0. Source: OpenIntro Statistics. Imported at revision fee2509.