Question 1

A weekly pet insurance premium is given by a solution of the following equation:

4x2 - 11x - 3 = 0

Calculate the premium.

Question 2

Assuming the position of the first quartile of an appropriately ordered dataset is given by

and the position of the third quartile of an appropriately ordered dataset is given by

Calculate the range and interquartile range of the above dataset.

Question 3

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

Calculate the magnitude of vector U to two decimal places.

Question 4

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.

Question 5

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

Calculate: P(x ≥ 1.5)

Question 6

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.

Question 7

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

f(x) = 2x3

Question 8

For the following data set, calculate the mean and median.

10, 8, 5, 7, 14, 5, 3, 9, 5, 8

Question 9

v = f(x, y, z) is a real valued function of 3 variables.

Express the partial derivative of v with respect to z in standard mathematical notation.

A)

B)

C)

D)