IFoA Certified Actuarial Analyst IFoA_CAA_M0 CAA Exam Questions

A biased coin has the following probability distribution function:

P(heads) = 0.80

P(tails) = 0.20

The biased coin is tossed twice in succession.

Calculate the probability of tossing at least one tail.

Calculate which of the following is a simplification of (1 + x)2- x2+ ln(e3x).

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

The stem and leaf chart below shows the ages of all the pensioners in a small village.

Identify which of the following is not true.

Identify which of the following involves weak inequality.

Define the partial derivative of f(x, y) with respect to x.

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

If U0 = 0, calculate U2 =