2022年最新のModule-0問題集PDFでModule-0リアル試験問題解答
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質問 23
Determine which of the following function is equal to (2+ x)3
- A. 6+ 3x + 3X2+ x3
- B. 8 + 4x + 2X2+ x3
- C. 8 + 12x + 2X2+ x3
- D. 1+ 3x + 3X2+ x3
正解: C
質問 24
Let a and b be two positive numbers and let m and n be two positive integers.
Identify which of the followingequalities is false.
A)
B)
C)
D)
- A. Option C
- B. Option B
- C. Option A
- D. Option D
正解: D
質問 25
Simplify the expression:
A)
B)
C)
D)
- A. Option B
- B. Option D
- C. Option C
- D. Option A
正解: A
質問 26
Let X be a continuous random variable with probability density function f(x) that is defined over all real numbers.
DefineE[g(X)]whereg(x)is a continuous function.
A)
B)
C)
D)
- A. Option
- B. Option
- C. Option
- D. Option
正解: A
質問 27
Identify which of the following statements about statistical measures for a set of data is false.
- A. The range can be greater than the largest value.
- B. The sample variance is always smaller than or equal to the largest value.
- C. The sample variance is always greater than or equal to zero.
- D. The range is always greater than or equal to zero.
正解: A
質問 28
Calculate the scalar product of the vectors A and B. where A = (5,10, 2) and B - (2. 3, 3).
- A. 0
- B. 1
- C. 2
- D. (10,30,6)
正解: D
質問 29
Let X and Y be two independent random variables.
Identify which of the following statements is false.
- A. E[X-Y] =E [X] - E [Y]
- B. E [XY] E [X] E [Y]
- C. E[X2] = E[X]E[X]
- D. E[2X] = 2E [X
正解: C
質問 30
A weekly pet insurance premium is given by a solution of the following equation:
4x2-11x-3 = 0
Calculate the premium.
- A. -£0.75
- B. -£0.25
- C. -£1
- D. -£3
正解: D
質問 31
A basketball squad contains 7 players. The team that lines up on the court tor the start of a match contains 5 ofthe players Calculate how many different teams can be fielded from the squad of 7 players
- A. 0
- B. 1
- C. 2,520
- D. 2
正解: D
質問 32
Identify the necessary and sufficient condition under which the quadratic equation ax2+ 2a2x + a3= 0 hasone repeated real root.
- A. a = 0
- B. a>0
- C. a<0
- D. a0
正解: B
質問 33
Identify which of the following statements is correct.
For a continuous random variable X, the distribution function evaluated at X= x measures:
- A. P(X = x)
- B. P(X<x)
- C. P(xx)
- D. P(X>x)
正解: B
質問 34
Determine the binomial expansion of (2x-X2)3.
- A. -x6+3x5-3x4+x3
- B. -x8+2xa-4x4+8x3
- C. -X6+8x3
- D. -x6+2x5-4x4+8x3
正解: D
質問 35
Identify which of the following is not true about the population variance of a set of data.
- A. It can be calculated as


- B. Its positive square root gives the standard deviation
- C. It can be calculated as
- D. It is represented by the symbol

正解: A
質問 36
Let x and y be two positive real numbers.
Rewrite the following equation such that y becomes the subject of the formula:
A)
B)
C)
D)
- A. Option C
- B. Option D
- C. Option B
- D. Option A
正解: A
質問 37
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.
- A. II, III and IV only
- B. I and III only
- C. II and IV only
- D. I and II only
正解: C
質問 38
Identify which of the following statements is correct.
- A. can be greater than or less than x.
- B. is less than x
- C. is greater than x
- D. is equal to x.
正解: D
質問 39 
- A. 0
- B. 3,286
- C. 2,056
- D. 1.224
正解: A
質問 40
The particular solution of the second-order difference equation
Determine the values of(A, B).
- A. (-3, 2)
- B. (-2,5)
- C. (-2, 3)
- D. (5,-2)
正解: D
質問 41
Differentiate with respect to X:
A)
B)
C)
D)
- A. Option C
- B. Option D
- C. Option B
- D. Option A
正解: A
質問 42
Express the following using Pi notation:
A)
B)
C)
D)
- A. Option D
- B. Option C
- C. Option B
- D. Option A
正解: D
質問 43
Determine which of the following statements is not true about the binomial expansion of (1+x)p, assuming p is real.
- A.

- B.

- C. it converges when p is a p positive integer.
- D.

正解: B
質問 44
Calculate the determinant of the product of the matrices given below:
- A. 0
- B. 1
- C. 2
- D. -0 00227
正解: C
質問 45
Calculate
- A. 951.84
- B. 399.68
- C. 58.88
- D. 337.84
正解: D
質問 46
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