Ace the IFoA IFoA_CAA_M0 Exam: Ultimate Preparation Guide

The graph shows the frequency distribution of the age of people with a certain kind of insurance contract.

Describe the shape of the underlying data.

Determine the coefficient of x3 in the binomial expansion of (2 + x)5.

Calculate the value of

Calculate the total area enclosed by the x-axis and the function below, between x = 1.5 and x = 2.

f(x) = 2x3

Consider a function f which has three variables, x1, x2 and x3.

Identify which of the following gives a correct definition of a partial derivative of the function f.

Determine which of the following statements are not true.

I. In a histogram the height of each rectangle equals the frequency of the interval

II. A box-plot chart is constructed to show the following values: Mean, Median, Upper Quartile, Minimum and Maximum

III. The set of data 2,2,5,7,8,8,9,10,11,12,14,16, 20 can be represented by the following frequency table:

The random variable X has the following probability density function ("PDF"):

 Calculate: P(x ≥ 1.5)

X is a random variable with expected value E(X).

Identify which of the following is not a valid method for calculating the variance of X.

A discrete random variable can only take the values 2,3,4 or 5. The probabilities associated with some of the outcomes are: P(X=2) = 0.2, P(X=3) = 0.3, P(X=5) = 0.1.

For a randomly drawn value of X, calculate P(X>3).

Consider the function:

Calculate the partial derivative .

A)

B)

C)

D)