[PS 16] Random variables: discrete and continuous random variable with simple examples

Опубликовано: 12 Март 2026
на канале: The Academician
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Random variables: discrete and continuous with examples

References:
https://www.amazon.in/Data-Analysis-B...
https://www.phindia.com/Books/BookDet...
https://www.flipkart.com/data-analysi...

1. Mean and histogram:    • [PS 1] Mean, Histogram  

2. Median, mode and weated mean:    • [PS 2] Median, Mode, Weighted mean  

3. Geometric and Harmonic mean:    • [PS 3] Geometric mean and Harmonic mean  

4. Partition values: Quartiles, Deciles, and Percentiles:    • [PS 5] Partition values: Quartiles, Decile...  

5. Range, IQR, MAD, Standard deviation and variance:    • [PS 4] Range, IQR, MAD, Standard deviation...  

6. Moments and kurtosis:    • [PS 7] Moments and kurtosis  

7. Correlation, Karl Pearson's coefficient of correlation:    • [PS 8] Correlation, Karl Pearson's coeffic...  

8. Spearman's Rank correlation coefficient:    • [PS 9] Spearman's Rank correlation coeffic...  

9. Regression analysis:    • [PS 10] Regression Analysis  

10. Probability Part 1 with Permutation and combination:    • [PS 11] Probability Part 1 with Permutatio...  

11. Probability part 2: Odds ratios, partial probability and total probability:    • [PS 12] Probability part 2: Odds ratios, p...  

12. Conditional probability, multiplication rule, problems and solutions:    • [PS 13] Conditional probability, multiplic...  

13. Bayes' Theorem with examples:    • [PS 14] Bayes' Theorem with examples  

14. Probability related problems and solutions:    • [PS 15] Probability related problems and s...  

15. Random variables: discrete and continuous random variable with examples:    • [PS 16] Random variables: discrete and con...  

16. Binomial, Bernoulli and Poisson Distribution and examples:    • [PS 18] Binomial, Bernoulli and Poisson Di...  

17. Normal distribution with appropriate example:    • [PS 19] Normal distribution with appropria...  

18. Sampling distribution, Central Limit Theorem, Hypothesis Testing with example:    • [PS 20] Sampling distribution, Central Lim...  

19. Hypothesis testing: Single mean and difference of means:    • [PS 21] Hypothesis testing: Single mean an...  

20. Hypothesis testing: Single proportion, difference of proportions, difference of standard deviations:    • [PS 22] Hypothesis testing: Single & diffe...  

21. Estimation of parameters:    • [PS 23] Estimation of parameters: with pro...  

22. Small sampling concept, t- statistics:    • [PS 24] Small sampling concept, t- statistics  

23. t statistics for difference of means and paired t test:    • [PS 25] t-statistics for difference of mea...  

24. F - Statistics:    • [PS 28] F - Statistics  

25. Chi square test Goodness of fit test:    • [PS 26] Chi square test Goodness of fit test  

26. Chi square test:    • [PS 27] Chi square test: The relationship ...