Consider a status with the following life table: x 0 1 2 3 4 5 6 7 lx 250 203 15
ID: 3079024 • Letter: C
Question
Consider a status with the following life table: x 0 1 2 3 4 5 6 7 lx 250 203 150 85 45 18 5 0 a.) Compute dx for each year b.) Construct a mortality table listing qx c.) For a status age 2 compute the mean and variance for the future lifetime random variable d.) Compute and give interpretations for the following (i.) 2p2 (ii.) 1|2p2 (iii.) 3.5q1 (iv.) 2.2p1 e.) Consider two statuses ages x = 1 and y = 2 with independent future lifetimes. Compute the probability that (i.) at least one lives for at least 2 additional years (ii.) at least one dies within 2 addional years f.) In part e.) find the expected curtate lifetime for LSS.Explanation / Answer
dx is how many people die each year 0 47 1 53 2 65 3 40 4 27 5 13 6 5 qx is the number of people that died that year divided by the number of people alive that year 0 47/250 1 53/203 2 65/150 3. 40/85 4 27/45 5 13/18 6 5/ 5