Calculate the determinant of the product of the matrices given below:
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).
A weekly pet insurance premium is given by a solution of the following equation:
4x2 - 11x - 3 = 0
Calculate the premium.
Determine which of the statements is true about the root(s) of the following equation:
Define the standard deviation of a finite data set.
A geometric series is given by
Identify the values of x for which the series converges.
For the following data set, calculate the mean and median.
10, 8, 5, 7, 14, 5, 3, 9, 5, 8
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.
The random variable X has the following probability density function ("PDF"):
Calculate: P(x ≥ 1.5)
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.
TESTED 14 Sep 2025