You are given

for [math]0 \lt t \lt 100[/math].

Calculate [math]\stackrel{\circ}{e}_{\text {75:1010 }}[/math].

• 6.6
• 7.0
• 7.4
• 7.8
• 8.2

You are given:

i) [math]\mu_{x+t}=\beta t^{2}, t \geq 0[/math]

ii) [math]l_{x}=1000[/math]

iii) [math]l_{x+10}=400[/math]

Calculate [math]1000 \beta[/math].

• 2.75
• 2.80
• 2.85
• 2.90
• 2.95

(i) An excerpt from a select and ultimate life table with a select period of 3 years:

(ii) Deaths follow a constant force of mortality over each year of age

Calculate [math]1000_{2 \mid 3} q_{[60]+0.75}[/math].

• 104
• 117
• 122
• 135
• 142

You are given:

(i) An excerpt from a select and ultimate life table with a select period of 2 years:

(ii) Deaths are uniformly distributed over each year of age

Calculate [math]10000_{2.2} q_{[51]+0.5}[/math].

• 705
• 709
• 713
• 1070
• 1074

The SULT Club has 4000 members all age 25 with independent future lifetimes. The mortality for each member follows the Standard Ultimate Life Table.

Calculate the largest integer [math]N[/math], using the normal approximation, such that the probability that there are at least [math]N[/math] survivors at age 95 is at least [math]90 \%[/math].

• 800
• 815
• 830
• 845
• 860

You are given:

[math]a={ }_{3.42 .5} q_{60}[/math] assuming a uniform distribution of deaths over each year of age [math]b={ }_{3.4 \mid 2.5} q_{60}[/math] assuming a constant force of mortality over each year of age Calculate 100,000(a-b).

• -24
• 9
• 42
• 73
• 106

You are given the following extract from a table with a 3-year select period:

[math]e_{64}=5.10[/math]

Calculate [math]e_{[61]}[/math].

• 5.30
• 5.39
• 5.68
• 5.85
• 6.00

For a mortality table with a select period of two years, you are given:

The force of mortality is constant between integral ages.

Calculate [math]1000_{2.5} q_{[50]+0.4}[/math].

• 15.2
• 16.4
• 17.7
• 19.0
• 20.2

A club is established with 2000 members, 1000 of exact age 35 and 1000 of exact age 45 . You are given:

(i) Mortality follows the Standard Ultimate Life Table

(ii) Future lifetimes are independent

(iii) [math] N[/math] is the random variable for the number of members still alive 40 years after the club is established

Using the normal approximation, without the continuity correction, calculate the smallest [math]n[/math] such that [math]\operatorname{Pr}(N \geq n) \leq 0.05[/math].

• 1500
• 1505
• 1510
• 1515
• 1520

A father-son club has 4000 members, 2000 of which are age 20 and the other 2000 are age 45. In 25 years, the members of the club intend to hold a reunion.

You are given:

(i) All lives have independent future lifetimes.

(ii) Mortality follows the Standard Ultimate Life Table.

Using the normal approximation, without the continuity correction, calculate the [math]99^{\text {th }}[/math] percentile of the number of surviving members at the time of the reunion.

• 3810
• 3820
• 3830
• 3840
• 3850