<s>[INST] Google Scholar recently released a dataset revealing the relative citation impact of various fields of research. Here are the citations data for the life sciences:
- Biophysics: 12.04
- Preventive medicine: 5.11
- Biochemistry: 4.94
- Other life sciences: 3.68
- Pharmacology: 8.97
- Pathology: 8.92
- Dermatology: 5.69
- Molecular biology & genetics: 6.67
- Veterinary science: 8.59
- Other medical sciences: 6.89
- Virology: 15.84
- Neurology Psychiatry & Behavioural sciences: 6.77
These data represent average annual relative citations divided by 100. Therefore, if the data for Biophysics is 12.04, it means that an average paper in Biophysics is 12.04 times more likely to be cited than an average paper across all fields. We want to select 10 papers around the world and assign them to these fields. We assume that citations are directly proportional to the impact. We are limited to 100 papers in our data sample, and there are 10 papers to assign: 2 out of every 100 sampled papers falls in every field, and every other paper goes to other life sciences. (You may treat other life sciences as the baseline category.) Ask the following series of questions:
1. Given these assumptions, what is the likelihood that a randomly selected paper will be assigned to 'other life science' fields?[/INST]