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create a life expectancy chart for the following. For each age, it gives the pro

ID: 3321094 • Letter: C

Question

create a life expectancy chart for the following. For each age, it gives the probability of death within one year, the number of living out of an original 100,000 and the additional life expectancy for a person of that age. Determine the following using the table: a. To what age may a female of age 60 expected to live on the average? To what age is a male of age 70 expected to live on average? b. How many 60-year old females on average will be living at age 61? How many 70-year old males on average will be living at age 71?

Explanation / Answer

a)Since the life expectancy of females of age 60 is 23.21, a female of age 60 should expect to live to age 83.21 years old

Since the life expectancy of males of age 70 is 12.98, a male of age

b)The probability of a 60 year old female within a year is 0.007740. So, the probabilty of living of a 60 year old female within a year is 1-0.007740=0.99 Additionally, there are 90,847 females living at age 60. Therefore, at age 61, approximately 0.99x90,847 = 89, 939 females on average will be lying at age 60.

The probability of death of a 70 year old male within a year is 0.028904. So, the probability of living of a 70 year old male within a year is 1-0.028904=0.97. Additionally, there are 70, 214 males living at age 70. So, approximately 0.97 x70, 214 = 68, 107.58 males on average wil be living at age 71.