無料で使えるModule-0サンプル問題で100%カバー率のリアル試験問題(更新された57問あります) [Q34-Q59]

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無料で使えるModule-0サンプル問題で100%カバー率のリアル試験問題(更新された57問あります)

今すぐダウンロード!リアルCAA Global Module-0試験問題集テストエンジン試験問題

質問 34
Identify which of the following quantities can always be derived from a box plot of a data set.
I.Mean
II.Median
III. Mode
IV. Range
V.Sample size

  • A. I and III only
  • B. IV and V only
  • C. II and IV only
  • D. I and II only

正解: C

 

質問 35

Calculate the minimum value of f.

  • A. -0.75
  • B. -0.50
  • C. 0.00
  • D. -0.25

正解: A

 

質問 36
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 37
Differentiate f(x) with respect to x, where
A)

B)

C)

D)

  • A. Option B
  • B. Option D
  • C. Option C
  • D. Option A

正解: A

 

質問 38
Calculate

  • A. 951.84
  • B. 399.68
  • C. 58.88
  • D. 337.84

正解: D

 

質問 39
A set of 17 observed values is being studied.
Identify which of the following statements is/are true.
I The median must be equalto one of the observed values.
II. The mean could be different from all of the observed values.
Ill If the observations are positively skewed, then the mean is less than the median IV. More than one mode is not possible.

  • A. III only
  • B. II and IV only
  • C. I only
  • D. I and II only

正解: C

 

質問 40
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 C
  • B. Option B
  • C. Option A
  • D. Option D

正解: D

 

質問 41
Identify which of the following statements is correct.
A continuous random variable is one that:

  • A. can take one of an infinite number of values.
  • B. can only take positive values.
  • C. can take one of a finite number of values
  • D. must be approximated using a discrete random variable.

正解: D

 

質問 42
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 43
Multiplythe following two matrices together.

A)

B)

C)

D)

  • A. Option C
  • B. Option D
  • C. Option B
  • D. Option A

正解: A

 

質問 44
Evaluate

  • A.
  • B.
  • C. 0
  • D.

正解: B

 

質問 45
Identify which of the following non-terminating geometric series converge, for values of x such that 1 < x < 2.

  • A. II and IV
  • B. I, II and IV
  • C. I and IV
  • D. II, III and IV

正解: A

 

質問 46
A snack bar does not give an itemised bill tor drinks In the past three visits, the total bills have been:
1) Three teas, two coffees and one lemonade cost £9.80
2) One tea four coffees and two lemonades cost £13.60
3) Two teas, two coffees andtwo lemonades cost£10
Calculate the price for a single coffee, given the prices have been the same for the three visits.

  • A. £1.20
  • B. £2.40
  • C. £2.05
  • D. £2.48

正解: B

 

質問 47
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 48
In an Olympic Race there are 100 competitors.
Calculate the number of ways of distributing the Gold. Silver and Bronze medals amongst all of the competitors.
A)

B)

C)

D)

  • A. Option D
  • B. Option C
  • C. Option B
  • D. Option A

正解: D

 

質問 49
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 50
A national newspaper wants to publish the results of a survey showing people's preferences for different types of sandwiches. Identify which of the following ways of publishing the survey results is likely to be the least useful to its readers.

  • A. Box plot
  • B. Pie chart
  • C. Bar chart
  • D. Table of data

正解: C

 

質問 51
Let X be a random variable.
identify which of the following statements is correct.
A)

B)

C)

D)

  • A. Option B
  • B. Option D
  • C. Option C
  • D. Option A

正解: A

 

質問 52
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 53
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 54
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 55
Identify which of the following statements is not true about the probability density function of a continuous random variable.

  • A. It must be non-negative.
  • B. It could be greater than 1.
  • C. Integrating it across its domain must produce an answer of 1.
  • D. Differentiating it gives the cumulative distribution function.

正解: B

 

質問 56
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 57
......

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