Consult the life table above (E5-1) and arrive at the following figures (pg. 182

Question

Consult the life table above (E5-1) and arrive at the following figures (pg. 182):

From the nqx column, find the percentage of the cohort reaching their sixty-fifth birthday that would survive to their seventieth birthday:

From the lx column, find the percentage of the cohort who would reach their sixty-fifth birthday:

What number of cohort members die between their sixty-fifth and seventieth birthdays:

What is the number of person-years lived by the cohort between ages sixty-five and seventy:

What is the average remaining years of life at age sixty-five and what is the total life expectancy a sixty-five-year-old can expect:

Average remaining years:

Total life expectancy:

Table E5-1 Male Life Table, Sweden, 2011 Numbeir Number Living at Beginning Person Years Lived in Personin This and Years 0 Interval Interval(of 100,000Lived in SubsequentAverage AgeProportion(of 100,000Born Remaining Lifetime yingBorn Alive)Alive) lx Interval Intervals Interval x to x + n 0.00235 0.00064 0.00022 0.00046 0.00160 0.00314 0.00350 0.00329 0.00347 0.00568 0.00962 0.01636 0.02660 0.04425 0.06832 0.11183 0.19166 0.31949 0.48416 0.63729 0.76100 1.00000 100,000 235.21 99,788.317,978,689.00 64.15398,905.207,878,901.20 22.41498,447.207,479,996.00 45.52498,277.306,981,549.00 159.12497,765.806,483,271.00 312.63496,586.405,985,505.00 347.06 494,937.105,488,919.00 325.13493,256.50|4,993,982.00 341.62491,589.704,500,725.00 78.97 75.02 70.04 65.07 99,700.63 99,678.23 99,632.71 99,473.59 99,160.96 98,813.88 98,488.74 98,147.13 97,589.91 96,651.46 95,069.84 10-14 25-29 30-34 35-39 40-44 45-49 50-54 55-59 557.21489,342.604,009,135.0040.85 36.07 938.45485,603.403,519,792.40 1,581.62479,303.303,034,189.00 2,529.28469,026.002,554,886.00 92,540.56 4,095.26452,464.702,085,860.00 6,042.83427,119.501,633,395.00 9,215.26 388,974.201,206,276.00 73,187.21 14,027.06330,868.30817,301.50 59,160.1318,900.81248,548.60 486,433.20 40,259.3119,491.82152,567.00237,884.60 85.317.54 7,532.645,732.3217,600.1121,184.62 3.584.51 22.54 88,445.30 82,402.48 70-74 75-79 85-89 95-99 20,767.4913,234.8564,132.92 1,800.33 1,800.33 3,584.51

Explanation / Answer

1. The age group reaching 70th birthday surviving from the group of 65th:-

Age group alive between 65 to 69 = 1- 0.06832 = 0.93168

Age group alive between 70 to 74 = 1-0.11183 = 0.88817

Therefore, those survived from age 65 to 70 = 0.04998.

2. The percentage of the cohort who would reach their sixty-fifth birthday:-

People living at the age of 65th birthday out of 100,000= 88,445.30

therefore percentage reaching the age of 65 = 88.45%

3.The number of cohort members die between their sixty-fifth and seventieth birthdays:-

The number of people dying between 65 to 69 = 0.06832

The number of people dying between 70 to 74 = 0.11183

The percentage of people dying between 65 to 70 = 0.04351

Therefore the number of people dying between those ages out of 100,000 = 4351 people

5. The average remaining years of life at age sixty-five and what is the total life expectancy a sixty-five-year-old can expect:  

Average remaining years of life = 18.47

Total life expectancy = 65 +18.47 = 83.47

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