Figures & data
Table 1. Results for Stephen Curry in the first round of the 2016 NBA three-point contest.
Table 2. Observed value of streak statistics, with a streak length of 3, for data in .
Figure 1. One hundred simulated values of streak statistic 1 with streak length 3 when there are 16 successes out of 25 trials.
![Figure 1. One hundred simulated values of streak statistic 1 with streak length 3 when there are 16 successes out of 25 trials.](/cms/asset/1dae8a52-5c9a-499c-8af3-bc1f062c3f8f/ujse_a_1395303_f0001_oc.gif)
Figure 2. Simulated null distribution of streak statistic 1 with streak length 3 when there are 16 successes in 25 trials.
![Figure 2. Simulated null distribution of streak statistic 1 with streak length 3 when there are 16 successes in 25 trials.](/cms/asset/a59b020a-45c1-4d4b-adce-9d723df97a35/ujse_a_1395303_f0002_oc.gif)
Figure 3. Simulated null distribution of streak statistic 2 with streak length 3 when there are 16 successes in 25 trials.
![Figure 3. Simulated null distribution of streak statistic 2 with streak length 3 when there are 16 successes in 25 trials.](/cms/asset/18a3c2bc-2a35-4907-bec3-bc16509e21f4/ujse_a_1395303_f0003_oc.gif)
Figure 4. Null distribution of streak statistic 1 with streak length 3 when there are 50 successes in 100 trials.
![Figure 4. Null distribution of streak statistic 1 with streak length 3 when there are 50 successes in 100 trials.](/cms/asset/a9ce525c-95b9-4279-aeb5-0de8f8d6aa17/ujse_a_1395303_f0004_oc.gif)
Figure 7. Values of z-score of streak statistic 2 with streak length 3 standardized with respect to the null distribution for the 37 players in Appendix A.
![Figure 7. Values of z-score of streak statistic 2 with streak length 3 standardized with respect to the null distribution for the 37 players in Appendix A.](/cms/asset/ef7427e0-df70-4c7d-8518-ca9767f79653/ujse_a_1395303_f0007_b.gif)
Table 3. The sample space for Problem 1. Flips that follow H are in boldface.
Table 4. The probability mass function of X, the proportion of flips following H that result in H in Problem 1.
Table 5. The joint probability mass function, , of Z, the number of flips immediately following H, and Y, the number of flips immediately following H that result in H, in Problem 1.
Table 6. Comparison of two-stage random processes.