The table below shows the distribution of the number of people in each household in a village.

Determine which of the following inequalities is true for the number of people living in a house.

Calculate the mean, median and mode of the above dataset.

A function f(x) is known for two values:

f(2) = 8 and f(5) = 14.

Using linear interpolation estimate f(3).

A)

B)

C)

D)

Identify the meaning of: | x | > 5

Consider the function:

Calculate the partial derivative .

A)

B)

C)

D)

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)

Three light bulbs are chosen at random from 15 bulbs of which 5 are known to be defective.

Calculate the probability that exactly one of the three is defective.

A)

B)

C)

D)

Calculate

Calculate the sum of the following non-terminating progression:

2/10, 2/40, 2/160, 2/640,...