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7. Partial Differential Equations
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Mixed questions from across the chapter. Your answers get marked.
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Flashcard drill
4 cards from this lesson. Good the night before a test.
Try these first
- 1.
What is the difference between a discrete and a continuous random variable?
Hint
Think about examples of each type.
- 2.
What is a Probability Distribution Function?
Hint
Consider how probabilities are defined over a range.
- 3.
What is a random variable?
Hint
Consider how outcomes are expressed mathematically.
- 4.
True or False: A Probability Distribution Function can take negative values.
- True
- False
Hint
What is the nature of probabilities?
- 5.
A random variable X has a PDF given by f(x) = 2x for 0 ≤ x ≤ 1 and f(x) = 0 elsewhere. Calculate the mean and variance of X.
Hint
Use integration to solve for expected values.
- 6.
Explain how one might simulate random variables for testing purposes in a stochastic process.
Hint
Think of statistical tools and methods for generating randomness.
Exercises
Total Questions
2
Estimated Time
4 min
Passing Score
70%
Instructions
- Read each question carefully
- You can use hints if you need help
- Complete all questions before submitting
4 more questions available
Enrol freeQuiz
Total Questions
2
Estimated Time
4 min
Passing Score
70%
Instructions
- Read each question carefully
- You can use hints if you need help
- Complete all questions before submitting
2 more questions available
Enrol freeChallenge Problems
Total Questions
2
Estimated Time
4 min
Passing Score
70%
Instructions
- Read each question carefully
- You can use hints if you need help
- Complete all questions before submitting