POW#10 Spring 2022
Solutions due by noon on Friday, April 22
Dr. Chapman, a self-proclaimed “statistical wizard” (which is similar to a “Mathemagician” but focuses on statistics), asked 10 people to either (a) flip a coin 30 times and record the sequence of heads and tails or (b) pretend to flip a coin 30 times and just record a sequence of heads and tails. She then stated that she could determine who pretended to flip the coin. (She gives a small disclaimer that she allows for up to a 5% chance that she will accuse a person that actually flipped the coin 30 times of “faking it”.)
Here are the sequences provided by the 10 randomly selected faculty members in the Department of Maths, CS, and Stats people. Use it to become a “statistical wizard” too by determining which of the ten people pretended to flip the coin. (But unlike a true magician, you must reveal how you came to your conclusion by providing the proper evidence.)
| Sequence of Coins | Person |
|---|---|
| HHHTHHTHHHHHTTTHTTTTTHHTTTTHHT | Ed |
| HHHTTHHHTTHHHHTTTTTHHTHTTTTHHT | Dan |
| HHTHTTTHHHTHTTTHTHHHTHHTTTHTTH | Choong-Soo |
| HTTTHTTTHTHHHHTTTTTTHTTTHHTHTT | Robin |
| HTTTHTHHHHHHHTTHTTHHTTTTHTTHHH | Lisa |
| HTTTTTTTTHTTHHHHHHHTHTHHTHTHHT | Ivan |
| HHTHHTTTTHHHHTHTTTHHTTHHTHTHHH | Rebecca |
| TTHTHTTTHTHTHHTTTTTHTTHTTTTTTT | Duncan |
| TTTHTTTTHHHHHTTTTHTHHHTHTHHHHT | Maegan |
| HTHTTHTHTHTHTTTTTTHTTHTHTHTTTT | Kevin |
This problem is brought to you by Prof. Ivan Ramler.
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