First of 2 part query: I have observed a 100 doctors and recorded the number of times they touch surfaces while in a room:
\begin{array}{l|c|c|c|c} \text{Dr number}&\text{Bed}&\text{Table}&\text{Chair}&\text{Door}\\ \text{Dr } 1&3&2&2&1\\ \text{Dr } 2&4&1&0&1\\ \vdots&\vdots &\vdots &\vdots &\vdots\\ \text{Dr } 100& 2&3&1&1 \end{array}
I would like to calculate the probability of him touching the Table for example. Would it be:
\begin{array}{l|c|c|c|c|c} &\text{Bed}&\text{Table}&\text{Chair}&\text{Door}&\text{Total}\\ \text{Average contacts}&3&2&1&1&\text{7}\\ P(\text{surface})&3/7&2/7&1/7&1/7&1 \end{array}
This is confusing me but I think a fresh pair of eyes will spot it instantly.
2nd part: I gave questionnaires out to some doctors who ticked boxes instead of giving contact numbers, i.e.:
\begin{array}{l|c|c|c|c} \text{Dr number}&\text{Bed}&\text{Table}&\text{Chair}&\text{Door}\\ \text{Dr} &\checkmark&\checkmark&\checkmark&\checkmark\\ \text{Dr } \checkmark&\checkmark&\checkmark&\times&\checkmark\\ \vdots&\vdots &\vdots &\vdots &\vdots\\ \text{Dr } 100& \checkmark&\checkmark&\checkmark&\checkmark \end{array}
What can I deduce from this table of ticks to compare with the table of exact values? Or is it not worth anything?
Please ask for any clarification if needed, Regards
EDIT: Revised Surface contact Probability Should this replace table 2?
\begin{array}{l|c|c|c|c|c} &\text{Bed}&\text{Table}&\text{Chair}&\text{Door}&\text{Total}\\ \text{Total contacts}&9&6&3&3&\text{21}\\ P(\text{surface})&9/21&6/21&3/21&3/21&1 \end{array}