IFoA_CAA_M0試験無料問題集「IFoA Module 0 - Entry 認定」

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).

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

B)

C)

D)

A and B are the stationary points of f(x).
f(x) = 2x3 - x2 - 8x + 8
A = (-1,13)
B = (4/3,8/27)
Determine whether each stationary point is a maximum, minimum or point of inflexion.

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.


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.

The first term of an arithmetic sequence is 12 and the ninth term is 68.
Calculate the sum of the first 18 terms.