Q1 Consider the basic survival model with two states: A (alive) and D (dead). In a certain country, the force of mortality, x, in the age range 90-105 years is given by: Age range (years) με 90 < x < 95 0.10 95 < x < 100 0.15 100 < x < 105 0.20 The head of state sends a congratulatory card on a citizen's 100th birthday and again on reaching age 105. Find the probability that a person aged exactly 93 will receive a congratulatory card for reaching age 100 but NOT receive a second congratulatory card for reaching age 105.

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Q1 Consider the basic survival model with two states: A (alive) and D (dead). In a certain country, the
force of mortality, x, in the age range 90-105 years is given by:
Age range (years)
με
90 < x < 95
0.10
95 < x < 100
0.15
100 < x < 105
0.20
The head of state sends a congratulatory card on a citizen's 100th birthday and again on reaching age 105.
Find the probability that a person aged exactly 93 will receive a congratulatory card for reaching age 100 but
NOT receive a second congratulatory card for reaching age 105.
Transcribed Image Text:Q1 Consider the basic survival model with two states: A (alive) and D (dead). In a certain country, the force of mortality, x, in the age range 90-105 years is given by: Age range (years) με 90 < x < 95 0.10 95 < x < 100 0.15 100 < x < 105 0.20 The head of state sends a congratulatory card on a citizen's 100th birthday and again on reaching age 105. Find the probability that a person aged exactly 93 will receive a congratulatory card for reaching age 100 but NOT receive a second congratulatory card for reaching age 105.
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