Lesson 2.2: Conditional Probability

Software Lab 2.2 Solutions

  1. There were 58 hits and 75 misses.
  2. A streak length of one means one hit and one miss. A streak length of 0 means 0 hits and one miss.
  3. The distribution is right-skewed with a typical streak of 0 and a maximum streak of four.

    streaks
    0 1 2 3 4
    39 24 6 6 1

    Jamovi - hot hand histogram
    Figure 1: Histogram of shooting streaks (hot hand) 
  4. On average you’d expect 66 or 67 heads and tails each, but since this is a random process your results will differ from this.
  5. On average you’d expect 26 or 27 heads, but since this is a random process your results will differ from this.
  6. Use the code IF(UNIF()<0.45,"H","M").
  7. Again, your results will vary, but the distribution will likely be right-skewed with a typical streak of 0 and a maximum streak around four.
  8. The distribution won’t be exactly the same, but should be somewhat similar.
  9. Kobe Bryant’s distribution of streak lengths is quite similar to the distribution of streak lengths for the simulated shooter.
  10. It seems unlikely that Kobe Bryant had a hot hand in this series.

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