IFoA_CAA_M0 Certified Actuarial Analyst CAA Exam Practice Test

For random variable X, use the following statistics to calculate its coefficient of skewness based on central moments.

E(X) = 3.940

E(X2) = 21.466

skew(X) = E[(X - )3] = 6.008

Determinewhich of the following is the Maclaurin expansion (up to the second order term) of: e2x

In a small island nation, local sea vessels are identified using "a letter and 4 digits" classification system. The "letter" can be any of the 26 letters in the English alphabet, A to Z, while the "digit" can be any number from 0 to 9. E.g: Z9835.

Calculate the probability of a sea vessel having an identification ending in "007".

The first term of an arithmetic sequence is 12 and the ninth term is 68.

Calculate the sum of the first 18 terms.

A and B are the stationary points of f(x).

f(x) = 2x3- x2- 8x + 8

A = (-1,13)

B = (4/3,8/27)

Determine whether each stationary point is a maximum, minimum or point of inflexion.

A recurrence relation is given by: Un = 2Un - 1 + 3

If U0 = 0, calculate U2 =

A geometric series is given by

Identify the values of x for which the series converges.