i) Find F(x), the distribution of X
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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- Suppose X has a survival function given by s (x) = 1[100 – x]1/2, 0 ≤ x ≤ 100
- Find F(x), the distribution of X
![a) Suppose X has a survival function given by
s(x) = 0.1[100-x]¹/2, 0≤x≤ 100
b)
i)
Find F(x), the distribution of X
ii)
Find f(x), the density function of X
iii)
Find u(x), the force of mortality at age x
iv) Calculate 1000 μ(35)
v) Calculate 2036
For the curtate future lifetime of (x)
Show that ex = px (1 + ex+1)
(1)
(ii)
Find e60 given that e63 = 13.5 and p60+k= 0.9(10.1k), k = 0, 1, 2......](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4508dd47-b913-434f-a546-4607d29f600c%2F4915cd52-b45f-425a-8a4a-ca761242b1ce%2Fm0e4puj_processed.png&w=3840&q=75)
Transcribed Image Text:a) Suppose X has a survival function given by
s(x) = 0.1[100-x]¹/2, 0≤x≤ 100
b)
i)
Find F(x), the distribution of X
ii)
Find f(x), the density function of X
iii)
Find u(x), the force of mortality at age x
iv) Calculate 1000 μ(35)
v) Calculate 2036
For the curtate future lifetime of (x)
Show that ex = px (1 + ex+1)
(1)
(ii)
Find e60 given that e63 = 13.5 and p60+k= 0.9(10.1k), k = 0, 1, 2......
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