The table is an abbreviated version of the 2010 period life table used by the Office of the Chief Actuary of the Social Security Administration. (The actual table includes every age, not just every tenth age.) Theoretically, this table follows a group of 100,000 males at birth and gives the number still alive at each age. Round answers to the questions that follow to the nearest thousandth.

(a) What is the probability that a 40-year-old man will live 30 more years?

(b) What is the probability that a 40-year-old man will not live 30 more years?

(c) Consider a group of five 40-year-old men. What is the probability that exactly three of them survive to age 70?

(d) Consider two 40-year-old men. What is the probability that at least one of them survives to age 70?

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Exact Age Number of Lives Exact Age Number of Lives 60 86,010 100,000 10 99,155 70 73,355 20 80 98,731 49,939 30 97,450 90 17,152 95,889 40 100 873 50 92,820 110 2