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| Section | Objectives |
|---|---|
| Probability | - Probability Fundamentals
|
| Basic Mathematics | - Functions and Equations
|
| Statistics | - Statistical Concepts
|
Question 1
Determine the stationary point(s) for the following function
A. Maximum at x = 1 and maximum at x = 3.
B. Minimum at x = 1 and minimum at x = 3.
C. Minimum at x = -1 and maximum at x = -3.
D. Minimum at x = -3 and maximum at x = -1.
Question 2
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. Differentiating it gives the cumulative distribution function.
C. Integrating it across its domain must produce an answer of 1.
D. It could be greater than 1.
Question 3
Calculate
A. 399.68
B. 58.88
C. 337.84
D. 951.84
Question 4
Determine which of the following function is equal to (2+ x)3
A. 8 + 12x + 2X2+ x3
B. 1+ 3x + 3X2+ x3
C. 6+ 3x + 3X2+ x3
D. 8 + 4x + 2X2+ x3
Question 5
Let X and Y be two independent random variables.
Identify which of the following statements is false.
A. E [XY] E [X] E [Y]
B. E[X2] = E[X]E[X]
C. E[X-Y] =E [X] - E [Y]
D. E[2X] = 2E [X
Solutions:
| Question 1 Answer: C | Question 2 Answer: D | Question 3 Answer: C | Question 4 Answer: A | Question 5 Answer: B |
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