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Question # 4

A recurrence relation is given by: Un = 2Un - 1 + 3

 

If U0 = 0, calculate U2 =  

A.

3

B.

9

C.

13

D.

21

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Question # 5

Identify the condition that fully describes the existence of independence between two events A and B.

A.

P(A|B) = P(A)/P(B) and P(B|A) = P(B)/P(A)

B.

P(A|B) = P(A) - P(B) and P(B|A) = P(B) - P(A)

C.

P(A|B) = P(A) and P(B|A) = P(B)

D.

P(A|B) = P(A) + P(B) and P(B|A) = P(B) + P(A)

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Question # 6

Identify the meaning of: | x | > 5

A.

x is greater than 5.

B.

x is greater than or equal to 5.

C.

x is greater than 5 or x is less than -5.

D.

x is greater than or equal to 5, or x is less than or equal to -5.

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Question # 7

For random variable X, use the following statistics to calculate its coefficient of skewness based on central moments.

E(X) = 3.940

E(X2) = 21.466

skew(X) = E[(X - μ)3] = 6.008

A.

-0.415

B.

0.060

C.

0.415

D.

0.768

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Question # 8

Identify which of the following involves weak inequality.

A)

B)

C)

D)

A.

Option A

B.

Option B

C.

Option C

D.

Option D

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Question # 9

Calculate the total area enclosed by the x-axis and the function below, between x = 1.5 and x = 2.

f(x) = 2x3

A.

2.734

B.

5.469

C.

8.000

D.

10.938

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