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NEW QUESTION 21 
A)
B)
C)
D)
- A. Option D
- B. Option B
- C. Option A
- D. Option C
Answer: A
NEW QUESTION 22
Determine the stationary point(s) for the following function
- A. Minimum at x = 1 and minimum at x = 3.
- B. Maximum at x = 1 and maximum at x = 3.
- C. Minimum at x = -3 and maximum at x = -1.
- D. Minimum at x = -1 and maximum at x = -3.
Answer: D
NEW QUESTION 23
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 D
- B. Option B
- C. Option A
- D. Option C
Answer: C
NEW QUESTION 24
Calculate
- A. 951.84
- B. 399.68
- C. 337.84
- D. 58.88
Answer: C
NEW QUESTION 25
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)
Answer: D
NEW QUESTION 26
Multiplythe following two matrices together.
A)
B)
C)
D)
- A. Option D
- B. Option B
- C. Option A
- D. Option C
Answer: D
NEW QUESTION 27
Identify which of the following is not true about the population variance of a set of data.
- A. Its positive square root gives the standard deviation
- B. It is represented by the symbol
- C. It can be calculated as
- D. It can be calculated as
Answer: C
NEW QUESTION 28
Differentiate with respect to X:
A)
B)
C)
D)
- A. Option D
- B. Option B
- C. Option A
- D. Option C
Answer: D
NEW QUESTION 29
Calculate the single extreme point of the function:
- A. (0,4)
- B. (1.1)
- C. (0.1)
- D. (0,2)
Answer: D
NEW QUESTION 30
Evaluate
- A.
- B.
- C.
- D. 0
Answer: B
NEW QUESTION 31
Identify which of the following statements is correct.
For a continuous random variable X, the distribution function evaluated at X= x measures:
- A. P(xx)
- B. P(X>x)
- C. P(X = x)
- D. P(X<x)
Answer: D
NEW QUESTION 32
Identify which of the following statements is not true.
- A. The variance is the square of the standard deviation.
- B. The standard deviation is a measure of how much variation from the mean exists in a probability distribution.
- C. The skewness is a measure of the asymmetry of a probability distribution about the mean.
- D. The coefficient of skewness for a symmetric distribution is 1.
Answer: B
NEW QUESTION 33
Calculate the scalar product of the vectors A and B. where A = (5,10, 2) and B - (2. 3, 3).
- A. 0
- B. (10,30,6)
- C. 1
- D. 2
Answer: B
NEW QUESTION 34
Consider the function f(x)x2 6x=20. This functions has a stationary point at x=3.
Determine the nature of this stationary point and how we know this to be true.
- A. It is a minimum stationary point because the second derivative of the function with respect to x takes the value 2 which is positive.
- B. It is a minimum stationary point because the value of the function at x = 3 is 11, which is positive.
- C. It is a maximum stationary point because the value of the function at x = 3 is 11, which is positive.
- D. It is a maximum stationary point because the second derivative of the function with respect to x takes the value 2, which is positive.
Answer: B
NEW QUESTION 35
Consider the three vectors:
Determine which of (he vectors or combination of vectors shown in the options has the greatest magnitude
- A. w
- B. v
- C. v-u
- D. u+v
Answer: D
NEW QUESTION 36
Determine which of the following function is equal to (2+ x)3
- A. 1+ 3x + 3X2+ x3
- B. 6+ 3x + 3X2+ x3
- C. 8 + 12x + 2X2+ x3
- D. 8 + 4x + 2X2+ x3
Answer: C
NEW QUESTION 37
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.
Answer: D
NEW QUESTION 38
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 D
- B. Option B
- C. Option A
- D. Option C
Answer: A
NEW QUESTION 39
Identify which of the following statements is correct.
- A. is equal to x.
- B. can be greater than or less than x.
- C. is less than x
- D. is greater than x
Answer: A
NEW QUESTION 40
Identify which of the following values is represented by:
- A. The total area under the graph of f(x) between A and B.
- B. The average gradient off(x) between A and B.
- C. The total increase in the value of f(x) between A and B.
- D. The change in the gradient off(x) between A and B.
Answer: A
NEW QUESTION 41
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 B
- C. Option A
- D. Option C
Answer: C
NEW QUESTION 42
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. II and IV only
- B. III only
- C. I only
- D. I and II only
Answer: C
NEW QUESTION 43
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 D
- B. Option B
- C. Option A
- D. Option C
Answer: A
NEW QUESTION 44
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