The following is an abridged life table for total population: United States, 200

Question

The following is an abridged life table for total population: United States, 2000.

a. Find the missing values in the table.

b. Find the probability that a newborn will live to his/her 10th birthday.

c. Find the expected remaining lifetime for a person who has just reached their 60th birthday.

d. Find the expected age of death for somoen who has just reached their 60th birthday.

Age 0-10 0.009050 100,000 10-200.004450 99,095 441 988,745 6,694,843 20-30 0.009711 30-40 0.013788 97,6961,347 970,225 4,724,348 40-50 0.02934196,349 2,827 949,355 3,754,123 50-60 0.064413 93,522 60-70 0.147855 87,498 12,937810,295 1,899,669 70-80 0.31550074,561 23,524 627,990 1,089,374 80-90 0.63087651,03732,198 90-100 0.90546218,83917,058103,100 905 991,977 7,686,820 981,7505,706,098 905,100 2,804,768 461,385 100+1.000000 1,781 1,781 8,905 8,905

Explanation / Answer

1)

lx=dx/qx

=958/0.009711

=98651 (rounded)

2) dx=lx*qx

= 0.064413*93522

= 6024

3) Lx=(lx+lx+1)/2

=(51037+18839)/2

= 34938

4) Tx=Lx+Tx+1

= 103100+7805

= 112005

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