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Risk Models-Set 1
Risk Models-Set 1
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Practice quiz
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Questions
15
Answers
1
S
x
(t)=S(x)/S(x+t)
True
False
2
What does
36
p
29
represent?
Probability of a 36-year-old dying before age 29
A 29-year-old living at least another 36 years
Probability of a 29-year-old dying within 36 years
Probability of a 29-year-old living at least another 36 years
3
Verify the following equation
False
True
4
What is the typical age range for practical work considered in the simple model of survival?
0-90
0-100
0-120
0-80
5
Which of the following is true about
t
p
x
?
It equals Fx(t)
It is not related to survival
It equals 1−tqx
It represents probability of death
6
T
0
=T
False
True
7
The following equation is derived using which concept?
Permutations
Conditional probability
Bayes’ theorem
Independent events
8
For a person aged x, the distribution function is denoted by:
F(t)
Sx(t)
Fx(t)
fx(t)
9
Which of the following is
not
a correct interpretation according to the force of mortality definition?
hqx is approximately h*μx for small intervals
μx gives the exact probability of death in the next year
μx is a continuous function representing the rate of mortality at age x.
μx is the hazard rate in statistics
10
t
p
x
=S
x
(t)
False
True
11
In the simple model of survival, the future lifetime of a person is represented by which random variable?
x
F
S
T
12
The function F
x
(t) represents the probability that a person aged x survives beyond time t.
False
True
13
What does the force of mortality μ
x
describe?
The discrete probability of death
The number of deaths per year
A constant death rate over all ages
An instantaneous rate of mortality at exact age x
14
The survival function S(t) is defined as:
P(T<t)
P(T>t)
1-F(t)
Both A and C
15
The future lifetime of a new-born person is a discrete random variable.
False
True