Estimate the Induction Time Distribution for a Disease

A group of 258 patients with AIDS had been exposed to HIV through blood transfusion on a known date. Patients who had not developed AIDS before the end of the study are not included (right truncation).

Create a kernel density estimate of the AIDS induction time distribution and compute its mean:
The probability a person will survive more than 6 years without developing AIDS:
The expected induction time given AIDS has not developed by 6 years: