Updated: May 29, 2026
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1. 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
2. Calculate
A) 951.84
B) 399.68
C) 337.84
D) 58.88
3. Identify which of the following statements is not true about the probability density function of a continuous random variable.
A) It could be greater than 1.
B) It must be non-negative.
C) Integrating it across its domain must produce an answer of 1.
D) Differentiating it gives the cumulative distribution function.
4. Identify which of the following statements is not always true about a probability experiment.
A) The sum of the probabilities of all possible events could be more than 1
B) The sum of the probabilities of all possible outcomes must be 1.
C) The probability of an event must lie in [0,1].
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.
5. 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
Solutions:
| Question # 1 Answer: B | Question # 2 Answer: C | Question # 3 Answer: A | Question # 4 Answer: A | Question # 5 Answer: C |
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