Online Access Free IFoA_CAA_M0 Exam Questions

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.0.8
• B.0.4
• C.0.1
• D.0.5

Determine which of the statements is true about the root(s) of the following equation:

• A.There are two real roots, r1 and r2, where r1 is positive and:r1 = - 2 r2
• B.There are two real roots, r1 and r2, where r1 is positive and:r1 = - 0.5 r2
• C.There is only one real root which takes a positive value.
• D.There is only one real root which takes a negative value.

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.

• A.E( X2 ) - E(X)
• B.E[ X - E(X) ]2
• C.The second moment of X minus the square of the first moment of X.
• D.E( X2 ) - [ E(X) ]2

Consider the vector U = (3, -1, 5).
Calculate the magnitude of vector U to two decimal places.

• A.2.65
• B.7.00
• C.5.92
• D.9.00

A coin is tossed 7 times.
Calculate the number of possible combinations that gives 4 heads and 3 tails.

• A.210
• B.840
• C.35
• D.42