ISTR that, on average, people would live to be 1000 on average if they died only from accidents/violence rather than disease and old age. The age distribution

ISTR that, on average, people would live to be 1000 on average if they died only from accidents/violence rather than disease and old age. The age distribution would be different. With the simplifying assumption that everybody's chance of dying in a given year is the same, the mortality rate would be proportional to number of people alive, which means that 1000 years would be a half-life. So you'd see 1/8 of the people living to be 3000 or more years, 1/16 living to be 4000, etc.