6.68 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 any combination of three services: specialist opinion, assessment of imaging studies (such as X-ray and MRI), and assessment of pathology results.

The accompanying table shows the combinations of services that were requested by 79 patients in their online consultations.

Combination of Services Provided Number of Patients Specialist opinion only 37 Assessment of pathology results only 1 Specialist opinion and assessment of pathology results only 11 Specialist opinion and assessment of imaging studies only 14 Specialist opinion, assessment of imaging studies, and assessment of pathology results 16 For a randomly selected patient from this study, define the events O, I, and A as follows:

O 5 event that the online consultation involves a specialist opinion I 5 event that the online consultation involves the assessment of imaging studies A 5 event that the online consultation involves the assessment of pathology results Use the given information to find the following probabilities:

a. PsOd

b. Psnot Ad

c. PsO > I d

d. PsIuOd

e. PsOuI d