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NEW QUESTION 11
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 12
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 13
A weekly pet insurance premium is given by a solution of the following equation:
4x2-11x-3 = 0
Calculate the premium.
- A. -£1
- B. -£3
- C. -£0.25
- D. -£0.75
Answer: B
NEW QUESTION 14
Suppose A and B are two events and that A denotes the complement of A.
Identify the false statement.
A)
B)
C)
D)
- A. Option A
- B. Option D
- C. Option B
- D. Option C
Answer: A
NEW QUESTION 15 
A)
B)
C)
D)
- A. Option A
- B. Option D
- C. Option B
- D. Option C
Answer: B
NEW QUESTION 16
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 17
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 18
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. II and IV only
- B. I and III only
- C. II, III and IV only
- D. I and II only
Answer: A
NEW QUESTION 19
Two real numbers, x and y, satisfy the following inequalities:
Determine which statement is true.
- A. y cannot be zero.
- B. y cannot be negative.
- C. y must be positive.
- D. y can be negative.
Answer: B
NEW QUESTION 20
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 21
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 22
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 A
- B. Option D
- C. Option B
- D. Option C
Answer: A
NEW QUESTION 23
Calculate the single extreme point of the function:
- A. (0,4)
- B. (0,2)
- C. (0.1)
- D. (1.1)
Answer: B
NEW QUESTION 24
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 25
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 26
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 27
Identify which of the following is not true about the population variance of a set of data.
- A. It can be calculated as
- B. It can be calculated as
- C. It is represented by the symbol
- D. Its positive square root gives the standard deviation
Answer: A
NEW QUESTION 28
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 29
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
Answer: A
NEW QUESTION 30
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 31
Differentiate f(x) with respect to x, where
A)
B)
C)
D)
- A. Option D
- B. Option B
- C. Option A
- D. Option C
Answer: B
NEW QUESTION 32
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. Bar chart
- B. Table of data
- C. Box plot
- D. Pie chart
Answer: A
NEW QUESTION 33
Express the following using Pi notation:
A)
B)
C)
D)
- A. Option A
- B. Option D
- C. Option B
- D. Option C
Answer: A
NEW QUESTION 34
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