4. Suppose we adopt a fractional age assumption as follows: For every x integer and t = [0, 1], the function is a linear function on the interval [0, 1]. That is there exists ax, be ER such that tPx 1 tPx (a) Determine a, b, in term of Px. (b) Show that for x integer and t = [0, 1], axt + bx, te [0, 1]. Hx+t = (c) Show that for a integer and t = [0, 1], tPa = 1 1 9x - (1 – t)qx* 1 - 9x (1 – t) qx
4. Suppose we adopt a fractional age assumption as follows: For every x integer and t = [0, 1], the function is a linear function on the interval [0, 1]. That is there exists ax, be ER such that tPx 1 tPx (a) Determine a, b, in term of Px. (b) Show that for x integer and t = [0, 1], axt + bx, te [0, 1]. Hx+t = (c) Show that for a integer and t = [0, 1], tPa = 1 1 9x - (1 – t)qx* 1 - 9x (1 – t) qx
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
Related questions
Question
![4. Suppose we adopt a fractional age assumption as follows:
1
For every x integer and t = [0, 1], the function is a linear function on the interval [0, 1]. That
is there exists ax, bx ER such that
tPx
1
tPx
(a) Determine ax, ba in term of px.
(b) Show that for x integer and t = [0, 1],
=
axt + bx, te [0, 1].
Mx+t
(c) Show that for x integer and t = [0, 1],
tPx
=
=
9x
1- (1 – t)qx
1 - 9x
1- (1 – t)qx](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F33efa0ee-e3c4-4640-bf2a-d63d72536f00%2Ff0c4fd89-afeb-4074-ba5a-0d2fb8d18412%2Fsdbybks_processed.png&w=3840&q=75)
Transcribed Image Text:4. Suppose we adopt a fractional age assumption as follows:
1
For every x integer and t = [0, 1], the function is a linear function on the interval [0, 1]. That
is there exists ax, bx ER such that
tPx
1
tPx
(a) Determine ax, ba in term of px.
(b) Show that for x integer and t = [0, 1],
=
axt + bx, te [0, 1].
Mx+t
(c) Show that for x integer and t = [0, 1],
tPx
=
=
9x
1- (1 – t)qx
1 - 9x
1- (1 – t)qx
Expert Solution
Step 1
Given, for every x integer and , the function is a linear function on the interval . That is there exists such that
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON