A study of how people are using online services for medical consulting is described in the paper “Internet Based Consultation to Transfer Knowledge for Patients Requiring Specialized Care” (British Medical Journal [ 2003]: 696– 699). Patients using a particular online site could request one or both (or neither) of two services: specialist opinion and assessment of pathology results. The paper reported that 98.7% of those using the service requested a specialist opinion, 35.4% requested the assessment of pathology results, and 34.7% requested both a specialist opinion and assessment of pathology results. Consider the following two events: 

S = event that a specialist opinion is requested
A = event that an assessment of pathology results is requested
a. What are the values of P(S), P(A), and P(S∩A)?
b. Use the given probability information to set up a “hypothetical 1000” table with columns corresponding to S and not S and rows corresponding to A and not a.