IFoA_CAA_M0 Module 0 - Entry Exam Question and Answers

A boy is asked to estimate the height of his sister. He estimates that she is 1.60 metres tall. He then measures his sister and finds that her true height is 1.40 metres.

 

Identify the absolute error of his estimate of her height.

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 - μ)3] = 6.008

The variable s can take values between 2 and 6.

 

Identify which of the inequalities shown can be satisfied by at least one value of s.

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

 

 

 

 Calculate: P(x ≥ 1.5)

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

 

Calculate the sum of the first 18 terms.

Consider the vector U = (3, -1, 5).

 

Calculate the magnitude of vector U to two decimal places.