In the article "Correlates for Completion of 3-dose Regimen of HPV Vaccine in Female Members of a Managed Care Organization" (Mayo Clinical Proceedings, Vol. 84. pp. 864- 870), C. Chao et al. examined characteristics that may influence whether young female patients complete a three-injection sequence of the Gardasil quadrivalent human papillomavirus vaccine (HPV4). HPV is a virus that has been linked to the development of cervical cancer. The following joint probability distribution summarizes completion of treatment versus practice type.

For a patient in the study selected at random, find the following probabilities and interpret your results in terms of percentages.
a. P(C1)
b. P(T2)
c. P(C1 &T2)
d. P(C1 | T2)
e. P(T2 |C1)

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Owner Yes No Pediatic0.115 0.115 0.250 0.365 T1 T0.075 0.183 0.258 OB/GYN 0.142 0.235 0.377 T3 P(C) 0.332 0.668 1.000