I took the survey, and I am posting for the first time. Thank you for such an intriguing community, everyone.
For the hospital question, although I felt very good about the answer from my own mathematics background, I decided to create a Perl script to check one trial, then ran the script in an environment a great many times to produce a distribution. Here is the single trial script. (You will spoil the answer by executing this script, obviously.)
I took the survey, and I am posting for the first time. Thank you for such an intriguing community, everyone.
For the hospital question, although I felt very good about the answer from my own mathematics background, I decided to create a Perl script to check one trial, then ran the script in an environment a great many times to produce a distribution. Here is the single trial script. (You will spoil the answer by executing this script, obviously.)