The education required to become a state trooper varies by state, but in general at least a year of post-high school education is required. In some states, if you have served in the military the post-high school educational requirement is waived because of your experience.
You can enroll in Medicare Part D coverage once you meet both of the above requirements. Your Initial Enrollment Period for Part D is when you're first eligible to sign up for prescription drug benefits, and this period usually coincides with when you're first eligible for Medicare coverage.
When you can enroll. The initial enrollment period for Medicare consists of the three months before, the month of, and the three months after your 65th birthday. If you want your coverage to start the month you turn 65, sign up during that first three-month period.