3. Assume that the survival function for hippogators is given by 100 - 2² 100 for 0 ≤ x ≤ 10. s(x) = (a) What does this imply about s(x) for x > 10? (b) Determine the cumulative density function and the probability density functi plete lifetime for a hippogator of age 2. lifa tabla fo

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3. Assume that the survival function for hippogators is given by
100 - 2²
100
for 0 ≤ x ≤ 10.
(a) What does this imply about s(x) for x > 10?
(b) Determine the cumulative density function and the probability density function for the com-
plete lifetime for a hippogator of age 2.
s(x) =
(c) Construct a life table for these hippogators including lz, dz, Pz and qe for ages 0 ≤ x ≤ 4
Use a radix of lo = 1000 and give non-integer entries to 3 decimal places.
(d) What is the probability that a hippogator of age 4 lives to age 6 but dies by age 9?
Transcribed Image Text:3. Assume that the survival function for hippogators is given by 100 - 2² 100 for 0 ≤ x ≤ 10. (a) What does this imply about s(x) for x > 10? (b) Determine the cumulative density function and the probability density function for the com- plete lifetime for a hippogator of age 2. s(x) = (c) Construct a life table for these hippogators including lz, dz, Pz and qe for ages 0 ≤ x ≤ 4 Use a radix of lo = 1000 and give non-integer entries to 3 decimal places. (d) What is the probability that a hippogator of age 4 lives to age 6 but dies by age 9?
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