The US Social Security Administration collects information on the life expectancy and death rates of the population. Table 11.6 gives the number of US men out of 100,000 born alive who will survive to a given age, based on 2007 mortality rates.
For example, 47,974 of 100,000 US males live to their 80th birthday.

Table 11.6

(a) What is the probability that a man lives to age 60?
(b) What is the probability that a man dies before age 70?

(c) What is the probability that a man dies at age 90 (after his 90th and before his 91st birthday)?
(d) If a man lives until his 90th birthday, what is the probability that he will die at the age of 90?
(e) If a man lives until his 80th birthday, what is the probability that he will die at the age of 90?
(f) What is the probability that a man dies between the ages of 60 and 89?
(g) If a man lives until his 60th birthday, what is the probability that he lives to be at least 90 years old?

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Age Number of lives 85,227 72,066 47,974 15,722 12,986 70 90 60 80 91