質問 1：
Identify which of the following statements is not true about the probability density function of a continuous random variable.
A. Differentiating it gives the cumulative distribution function.
B. It could be greater than 1.
C. Integrating it across its domain must produce an answer of 1.
D. It must be non-negative.
正解：B

質問 2：
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. £2.40
B. £1.20
C. £2.48
D. £2.05
正解：A

質問 3：
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 C
B. Option A
C. Option B
D. Option D
正解：B

質問 4：
Identify which of the following statements is correct.
A continuous random variable is one that:
A. must be approximated using a discrete random variable.
B. can take one of an infinite number of values.
C. can only take positive values.
D. can take one of a finite number of values
正解：A

質問 5：
Let X be a random variable.
identify which of the following statements is correct.
A)

B)

C)

D)

A. Option C
B. Option A
C. Option B
D. Option D
正解：C

質問 6：
Determine which of the following statements is not true about the binomial expansion of (1+x)p, assuming p is real.
A.
B. it converges when p is a p positive integer.
C.
D.
正解：D