Pass the IFoA Certified Actuarial Analyst IFoA_CAA_M0 Questions and answers with CertsForce

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Questions # 1:

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

 Question # 1

Options:

A.

There is only one real root which takes a positive value.


B.

There is only one real root which takes a negative value.


C.

There are two real roots, r1 and r2, where r1 is positive and:

r1 = - 0.5 r2


D.

There are two real roots, r1 and r2, where r1 is positive and:

r1 = - 2 r2


Expert Solution
Questions # 2:

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

 

Calculate the magnitude of vector U to two decimal places.

Options:

A.

2.65


B.

5.92


C.

7.00


D.

9.00


Expert Solution
Questions # 3:

Determine which of the following is the Maclaurin expansion (up to the second order term) of: e2x

A)

Question # 3

B)

Question # 3

C)

Question # 3

D)

Question # 3

Options:

A.

Option A


B.

Option B


C.

Option C


D.

Option D


Expert Solution
Questions # 4:

Calculate the sum of the following non-terminating progression:

 

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

Options:

A.

0.174


B.

0.266


C.

0.267


D.

0.406


Expert Solution
Questions # 5:

Identify which of the following involves weak inequality.

A)

Question # 5

B)

Question # 5

C)

Question # 5

D)

Question # 5

Options:

A.

Option A


B.

Option B


C.

Option C


D.

Option D


Expert Solution
Questions # 6:

Let A =  Question # 6

Let B =  Question # 6

 

Calculate    Question # 6

Options:

A.

986


B.

1,224


C.

2,056


D.

3,286


Expert Solution
Questions # 7:

For -3.14 ≤ x ≤ +3.14, the graph of the function, sin x, is show below.

 Question # 7

Identify the range of this defined function.

 

Options:

A.

[-1,1]


B.

[0,1]


C.

(-1,1)


D.

(-1,1]


Expert Solution
Questions # 8:

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

Question # 8

Question # 8

Options:

A.

Option A


B.

Option B


C.

Option C


D.

Option D


Expert Solution
Questions # 9:

For the following data set, calculate the mean and median.

10, 8, 5, 7, 14, 5, 3, 9, 5, 8

Options:

A.

The mean is 7.4 and the median is 7.5.


B.

The mean is 7.4 and the median is 8.0.


C.

The mean is 8.2 and the median is 7.5.


D.

The mean is 8.2 and the median is 8.0.


Expert Solution
Questions # 10:

In a small island nation, local sea vessels are identified using "a letter and 4 digits" classification system. The "letter" can be any of the 26 letters in the English alphabet, A to Z,  while the "digit" can be any number from 0 to 9. E.g: Z9835.

 

Calculate the probability of a sea vessel having an identification ending in "007".

Options:

A.

0.001


B.

0.002


C.

0.003


D.

0.504


Expert Solution
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