[Q31-Q53] Tested Material Used To Module-0 Test Engine Exam Questions in here [Jan-2022]

Tested Material Used To Module-0 Test Engine Exam Questions in here [Jan-2022]

Penetration testers simulate Module-0 exam PDF

NEW QUESTION 31
The distribution of test scores from a recent clinical drug study have been tabulated below.
Determine i) whether the distribution of test scores are symmetric positively skewed or negatively skewed, and ii) the sample median value.

A. i) Positively skewed, ii)
B. i) Negatively skewed, ii) 3
C. i) Positively skewed, ii) 3
D. i) Symmetric, ii) 4

Answer: C

NEW QUESTION 32
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

Answer: C

NEW QUESTION 33
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

Answer: C

NEW QUESTION 34
Identify which of the following values is represented by:

A. The average gradient off(x) between A and B.
B. The change in the gradient off(x) between A and B.
C. The total increase in the value of f(x) between A and B.
D. The total area under the graph of f(x) between A and B.

Answer: D

NEW QUESTION 35
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

Answer: D

NEW QUESTION 36
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 37
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

Answer: A

NEW QUESTION 38
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 C
C. Option B
D. Option A

Answer: D

NEW QUESTION 39
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)

Answer: D

NEW QUESTION 40
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.

Answer: B

NEW QUESTION 41
Identify which of the following statements is not true.

A. The standard deviation is a measure of how much variation from the mean exists in a probability distribution.
B. The variance is the square of the standard deviation.
C. The coefficient of skewness for a symmetric distribution is 1.
D. The skewness is a measure of the asymmetry of a probability distribution about the mean.

Answer: A

NEW QUESTION 42
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 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.
C. The sum of the probabilities of all possible outcomes must be 1.
D. The sum of the probabilities of all possible events could be more than 1

Answer: D

NEW QUESTION 43
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

Answer: D

NEW QUESTION 44
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

Answer: D

NEW QUESTION 45
Calculate the sum of the following series: 3, -6,12, -24,..., -1.536.

A. -3,833
B. 0
C. -1,023
D. 3,069

Answer: C

NEW QUESTION 46
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 range of the data.
C. It is a measure of the spread of the data.
D. It is a measure of the central tendency of the data.

Answer: C

NEW QUESTION 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.

Answer: A

NEW QUESTION 48
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

Answer: C

NEW QUESTION 49

Calculate the minimum value of f.

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

Answer: A

NEW QUESTION 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

Answer: C

NEW QUESTION 51
Identify which of the following statements is correct.

A. x in(n)
B. n in (x)
C. In (nx)
D. In(x)+ in(n)

Answer: B

NEW QUESTION 52
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)