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Standard Discrete and Continuous Univariate Distributions Video Lecture | CSIR NET Crash Course for Mathematics - CSIR NET Mathematics

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FAQs on Standard Discrete and Continuous Univariate Distributions Video Lecture - CSIR NET Crash Course for Mathematics - CSIR NET Mathematics

1. What are some common examples of continuous univariate distributions?
Ans. Some common examples of continuous univariate distributions include the normal distribution, uniform distribution, exponential distribution, and beta distribution.
2. What is the difference between discrete and continuous univariate distributions?
Ans. Discrete univariate distributions are defined on a countable set of values, while continuous univariate distributions are defined on an interval of real numbers.
3. How is the probability density function (PDF) used in continuous univariate distributions?
Ans. The PDF in continuous univariate distributions gives the probability of a random variable falling within a particular interval. It is used to calculate probabilities for continuous random variables.
4. Can you give an example of a situation where a continuous univariate distribution would be applicable?
Ans. A continuous univariate distribution could be applied to model the heights of adult males in a population, where the random variable represents the height in inches or centimeters.
5. What is the Central Limit Theorem and how does it relate to continuous univariate distributions?
Ans. The Central Limit Theorem states that the distribution of the sum (or average) of a large number of independent, identically distributed random variables approaches a normal distribution. This theorem is often used in the context of continuous univariate distributions to understand the behavior of sample means and sums.
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