Let A = 

Let B = 

Calculate   

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:

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

 4x2 - 11x - 3 = 0

Calculate the premium.

Identify which of the following best describes the nature of a stationary point.

Define the partial derivative of f(x, y) with respect to x.

A)

B)

C)

D)

Consider the function:

Calculate the partial derivative .

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)

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

Calculate the magnitude of vector U to two decimal places.

Identify which of the following statements are true.

I. Skewness measures how peaked a set of data is.

II. Skewness is a measure of asymmetry of the distribution of the data about its mean.

III. For a symmetrically distributed data, the mean equals the median but not necessarily the mode.

IV. The value of a measure of skewness can be positive, zero or negative.

State what the limit of a function with input variable x represents.