Selected values from a two-decrement table: q1(1)X = 0.03 q(2)X = 0.10 Each decrement is assumed to be uniformly distributed between ages x and x +1 in the associated single-decrement table. In what range is q(r)X ?
A)Less than 0.1270
B)0.1270 but less than 0.1280
C)0.1280 but less than 0.1290
D)0.1290 but less than 0.1300
E)0.1300 or more

Question

Quizplus · Accepted Answer

The formula for the combined probability of decrement in a two-decrement table is q(r)X = q1(1)X + q(2)X - q1(1)X * q(2)X. Substituting the given values: q(r)X = 0.03 + 0.10 - (0.03 * 0.10) = 0.1287, which falls in the range of 0.1280 but less than 0.1290.

Selected Values from a Two-Decrement Table: Q1(1)X = 0