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NEW QUESTION 34
Let X be a random variable.
identify which of the following statements is correct.
A)
B)
C)
D)
- A. Option B
- B. Option A
- C. Option C
- D. Option D
Answer: A
NEW QUESTION 35
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) Symmetric, ii) 4
- D. i) Positively skewed, ii) 3
Answer: D
NEW QUESTION 36
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. £2.05
- B. £1.20
- C. £2.48
- D. £2.40
Answer: D
NEW QUESTION 37
Identify which of the following statements is not true.
- A. The variance is the square of the standard deviation.
- B. The coefficient of skewness for a symmetric distribution is 1.
- C. The standard deviation is a measure of how much variation from the mean exists in a probability distribution.
- D. The skewness is a measure of the asymmetry of a probability distribution about the mean.
Answer: C
NEW QUESTION 38
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: B
NEW QUESTION 39
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. Pie chart
- B. Table of data
- C. Bar chart
- D. Box plot
Answer: C
NEW QUESTION 40
Two real numbers, x and y, satisfy the following inequalities:
Determine which statement is true.
- A. y can be negative.
- B. y must be positive.
- C. y cannot be zero.
- D. y cannot be negative.
Answer: D
NEW QUESTION 41
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. It could be greater than 1.
- D. Differentiating it gives the cumulative distribution function.
Answer: C
NEW QUESTION 42
Determine the stationary point(s) for the following function
- A. Minimum at x = -1 and maximum at x = -3.
- B. Minimum at x = 1 and minimum at x = 3.
- C. Minimum at x = -3 and maximum at x = -1.
- D. Maximum at x = 1 and maximum at x = 3.
Answer: A
NEW QUESTION 43
Determine the binomial expansion of (2x-X2)3.
- A. -x6+3x5-3x4+x3
- B. -x8+2xa-4x4+8x3
- C. -x6+2x5-4x4+8x3
- D. -X6+8x3
Answer: C
NEW QUESTION 44
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 C
- B. Option A
- C. Option B
- D. Option D
Answer: B
NEW QUESTION 45
Identify which of the following statements is correct.
- A. is greater than x
- B. can be greater than or less than x.
- C. is less than x
- D. is equal to x.
Answer: D
NEW QUESTION 46
Let x and y be two positive real numbers.
Rewrite the following equation such that y becomes the subject of the formula:
A)
B)
C)
D)
- A. Option A
- B. Option B
- C. Option C
- D. Option D
Answer: C
NEW QUESTION 47
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. I and II only
- C. II and IV only
- D. IV and V only
Answer: C
NEW QUESTION 48
Determine which of the following function is equal to (2+ x)3
- A. 8 + 4x + 2X2+ x3
- B. 6+ 3x + 3X2+ x3
- C. 8 + 12x + 2X2+ x3
- D. 1+ 3x + 3X2+ x3
Answer: C
NEW QUESTION 49
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