CAA Global Module-0 Practice Verified Answers - Pass Your Exams For Sure! [2021]
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NEW QUESTION 18
Identify which of the following statements is correct.
A continuous random variable is one that:
- A. can only take positive values.
- B. must be approximated using a discrete random variable.
- C. can take one of a finite number of values
- D. can take one of an infinite number of values.
Answer: B
NEW QUESTION 19
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 A
- B. Option D
- C. Option B
- D. Option C
Answer: B
NEW QUESTION 20
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. 0.54
- B. 1.54
- C. 4.40
- D. 5.53
Answer: C
NEW QUESTION 21
Multiplythe following two matrices together.
A)
B)
C)
D)
- A. Option D
- B. Option C
- C. Option A
- D. Option B
Answer: B
NEW QUESTION 22
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
Answer: B
NEW QUESTION 23
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. £2.48
- B. £2.05
- C. £2.40
- D. £1.20
Answer: C
NEW QUESTION 24
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.
Answer: D
NEW QUESTION 25
The particular solution of the second-order difference equation
Determine the values of(A, B).
- A. (-3, 2)
- B. (5,-2)
- C. (-2, 3)
- D. (-2,5)
Answer: B
NEW QUESTION 26
Identify which of the following statements about the mean of a data set is correct.
- A. It is a measure of the variability of the data.
- B. It is a measure of the spread of the data.
- C. It is a measure of the central tendency of the data.
- D. It is a measure of the range of the data.
Answer: B
NEW QUESTION 27
Determine the stationary point(s) for the following function
- A. Minimum at x = 1 and minimum at x = 3.
- B. Minimum at x = -3 and maximum at x = -1.
- C. Minimum at x = -1 and maximum at x = -3.
- D. Maximum at x = 1 and maximum at x = 3.
Answer: C
NEW QUESTION 28
Identify which of the following statements is not true.
- A. The coefficient of skewness for a symmetric distribution is 1.
- B. The standard deviation is a measure of how much variation from the mean exists in a probability distribution.
- C. The variance is the square of the standard deviation.
- D. The skewness is a measure of the asymmetry of a probability distribution about the mean.
Answer: B
NEW QUESTION 29
Simplify the expression:
A)
B)
C)
D)
- A. Option D
- B. Option B
- C. Option A
- D. Option C
Answer: B
NEW QUESTION 30
Consider the function
Calculate the anti-derivative of f(x).
A)
B)
C)
D)
- A. Option A
- B. Option D
- C. Option B
- D. Option C
Answer: A
NEW QUESTION 31
Determine which of the following function is equal to (2+ x)3
- A. 1+ 3x + 3X2+ x3
- B. 6+ 3x + 3X2+ x3
- C. 8 + 4x + 2X2+ x3
- D. 8 + 12x + 2X2+ x3
Answer: D
NEW QUESTION 32
Identify which of the following statements is not always true about a probability experiment.
- A. The probability of an event must lie in [0,1].
- B. The sum of the probabilities of all possible outcomes must be 1.
- C. The sum of the probabilities of all possible events could be more than 1
- D. The probability of an event occurring equals the number of outcomes in the event space divided by the total number of possible outcomes in the sample space.
Answer: C
NEW QUESTION 33
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
Answer: D
NEW QUESTION 34
Let X and Y be two independent random variables.
Identify which of the following statements is false.
- A. E[X2] = E[X]E[X]
- B. E[2X] = 2E [X
- C. E[X-Y] =E [X] - E [Y]
- D. E [XY] E [X] E [Y]
Answer: A
NEW QUESTION 35
Identify which of the following non-terminating geometric series converge, for values of x such that 1 < x < 2.
- A. I and IV
- B. I, II and IV
- C. II, III and IV
- D. II and IV
Answer: D
NEW QUESTION 36
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 A
- B. Option D
- C. Option B
- D. Option C
Answer: B
NEW QUESTION 37
Identify which of the following statements is not true about the probability density function of a continuous random variable.
- A. Integrating it across its domain must produce an answer of 1.
- B. It must be non-negative.
- C. Differentiating it gives the cumulative distribution function.
- D. It could be greater than 1.
Answer: D
NEW QUESTION 38
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