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Uniform Distribution Mastery Quiz

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1. What is the probability density function (PDF) of a continuous uniform distribution ranging from a to b?

2. What is the mean (expected value) of a continuous uniform distribution defined over the interval [a, b]?

3. In a discrete uniform distribution with n distinct outcomes, what is the probability of each outcome?

4. What is the variance of a continuous uniform distribution defined over the interval [a, b]?

5. If X is a random variable following a continuous uniform distribution over [2, 5], what is the probability that X is less than 4?

6. Which of the following is NOT a characteristic of a continuous uniform distribution?

7. How do you calculate the cumulative distribution function (CDF) of a continuous uniform distribution over the interval [a, b] for a value x within the interval?

8. What represents the height of the probability density function (PDF) of a continuous uniform distribution over the interval [0, k]?

9. A discrete uniform distribution consists of the numbers 1 through 6, inclusive. What is the expected value of this distribution?

10. Which of the following scenarios best illustrates a discrete uniform distribution?