ベストCAA Global Module-0学習ガイドと問題集は2022年更新
トップクラスCAA Global Module-0試験最先端学習ガイド！練習問題バージョン
質問 21
Calculate the single extreme point of the function:
- A. (0,2)
- B. (0,4)
- C. (1.1)
- D. (0.1)
正解: A
質問 22
Identify which of the following statements is true,where X is a discrete random variable that exists over the domain [a. b], and F(x) is its distribution function.
A)
B)
C)
D)
- A. Option B
- B. Option C
- C. Option A
- D. Option D
正解: C
質問 23
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 24
Identify which of the following statements is correct.
- A. is less than x
- B. is greater than x
- C. can be greater than or less than x.
- D. is equal to x.
正解: D
質問 25
Determine the stationary point(s) for the following function
- A. Maximum at x = 1 and maximum at x = 3.
- B. Minimum at x = 1 and minimum at x = 3.
- C. Minimum at x = -1 and maximum at x = -3.
- D. Minimum at x = -3 and maximum at x = -1.
正解: C
質問 26
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 B
- B. Option D
- C. Option A
- D. Option C
正解: B
質問 27
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 B
- B. Option A
- C. Option D
- D. Option C
正解: D
質問 28
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. 2,520
- C. 1
- D. 2
正解: A
質問 29
Identify which of the following statements is not true about the probability density function of a continuous random variable.
- A. It could be greater than 1.
- B. Integrating it across its domain must produce an answer of 1.
- C. Differentiating it gives the cumulative distribution function.
- D. It must be non-negative.
正解: A
質問 30
The volume of a cone can be determined by summing up the infinitesimal circular cross-sections of the cone across the length of the cone Consider the function f(x) = x2 for x contained in [0,1].
Now consider an infinitesimal circular cross-sectional element of width dx and radius r = f(x) Determine the volume of the cone enclosedby the function f(x) by considering the volume of each circular cross-sectional element (Recall thatthe sum of infinitesimal elements can be represented as an integral Recall also that the area of a
circle is
A)
B)
C)
D)
1
- A. Option B
- B. Option D
- C. Option A
- D. Option C
正解: B
質問 31
Express the following using Pi notation:
A)
B)
C)
D)
- A. Option B
- B. Option C
- C. Option A
- D. Option D
正解: C
質問 32
Consider the function f(x) =x2- 5x - 3
The value of one of the roots of the above equation can be obtained by using the iteration formula
Apply the iteration formula to determine the value of the root.
- A. 4.40
- B. 1.54
- C. 0.54
- D. 5.53
正解: A
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(xx)
- C. P(X<x)
- D. P(X = x)
正解: C
質問 34 
- A. 1.224
- B. 3,286
- C. 2,056
- D. 0
正解: D
質問 35
Identify which of the following statements about statistical measures for a set of data is false.
- A. The range is always greater than or equal to zero.
- 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 can be greater than the largest value.
正解: D
質問 36
Identify which of the following is not true about the population variance of a set of data.
- A. It is represented by the symbol
- B. It can be calculated as
- C. Its positive square root gives the standard deviation
- D. It can be calculated as
正解: D
質問 37
Identify which of the following non-terminating geometric series converge, for values of x such that 1 < x < 2.
- A. II, III and IV
- B. II and IV
- C. I and IV
- D. I, II and IV
正解: B
質問 38
A student is trying to estimate the root of the equation
Determine which of the suggestions will lead to the root.
- A. II and III only
- B. I and IV only
- C. I and II only
- D. II and IV only
正解: C
質問 39
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: B
質問 40
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 41
Identify which of the following statements is correct.
- A. In(x)+ in(n)
- B. x in(n)
- C. n in (x)
- D. In (nx)
正解: C
質問 42
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. I and II only
- B. II and IV only
- C. I and III only
- D. II, III and IV only
正解: B
質問 43
Differentiate f(x) with respect to x, where
A)
B)
C)
D)
- A. Option A
- B. Option C
- C. Option B
- D. Option D
正解: C
質問 44
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