# normal distribution (blogs) — RSS Amplifier Recent posts from the 4 feeds in the RSS Amplifier directory that cover normal distribution. Page: Feed: --- ## [Brainteaser about the probability of two particular lines intersecting](https://statisticaloddsandends.wordpress.com/2026/04/19/brainteaser-about-the-probability-of-two-particular-lines-intersecting/) _2026-04-19 · kjytay · Statistical Odds & Ends_ Pick a point uniformly at random in a square and connect it to the bottom-left corner of the square. Pick a second point uniformly at random in the square and connect it to the top-left corner of the square. What … Continue reading → ## [Brainteaser about max probability of a random variable being 0 given some constraints](https://statisticaloddsandends.wordpress.com/2026/04/01/brainteaser-about-max-probability-of-a-random-variable-being-0-given-some-constraints/) _2026-04-01 · kjytay · Statistical Odds & Ends_ is a non-negative random variable such that its expectation is 5 and its variance is 25. What is the maximum probability that ?(Source: quantprof.org) Decompose as , where and are independent, , and with probability , and otherwise. The problem … Continue reading → ## [Things to look out for when running CUPED](https://rezkaaufar.github.io/cuped/) _2026-03-15 · Rezka Leonandya · Rezka Leonandya_ CUPED is a great method to reduce variance in an AB test. However, there are some things to look out for when running CUPED. ## [Non-compliance issue in an AB test](https://rezkaaufar.github.io/compliance-issue-in-ab-test/) _2026-02-12 · Rezka Leonandya · Rezka Leonandya_ Non compliance issue can make your test underpowered. Here is how to address it. ## [Notes on doing AB test properly](https://rezkaaufar.github.io/ab-testing-notes/) _2026-02-07 · Rezka Leonandya · Rezka Leonandya_ AB testing is a common method used in tech companies to evaluate the effectiveness of different strategies. In this post I try to go over the concept and visualize it to make it easier to remember. ## [How to interpret confidence intervals (correctly)](https://rezkaaufar.github.io/confidence-intervals/) _2026-01-18 · Rezka Leonandya · Rezka Leonandya_ Notes on how to interpret confidence intervals. ## [What is a probability-generating function (PGF)?](https://statisticaloddsandends.wordpress.com/2025/11/10/what-is-a-probability-generating-function-pgf/) _2025-11-10 · kjytay · Statistical Odds & Ends_ If is a discrete random variable taking values in , then the probability-generating function (PGF) of is defined as where is the probability mass function of . PGFs obey all rules of power series with non-negative coefficients. In particular, PGFs … Continue reading → ## [Brainteaser about points belonging to the same semicircular arc](https://statisticaloddsandends.wordpress.com/2025/08/31/brainteaser-about-points-belonging-to-the-same-semicircular-arc/) _2025-08-31 · kjytay · Statistical Odds & Ends_ points are placed uniformly at random on a circle. What’s the probability that all of them lie within a semicircular arc? Label the points . For each , define the event as the event where all points lie on the … Continue reading → ## [Brainteaser about expected number of rolls](https://statisticaloddsandends.wordpress.com/2025/08/30/brainteaser-about-expected-number-of-rolls/) _2025-08-30 · kjytay · Statistical Odds & Ends_ An -sided fair die is rolled repeatedly. What is the expected number of rolls until the total sum becomes at least ? This question can be solved by conditioning on the outcome of the first roll. For , let be … Continue reading → ## [Lexical match in a search engine retrieval](https://rezkaaufar.github.io/retrieval-tf-idf/) _2025-04-29 · Rezka Leonandya · Rezka Leonandya_ Have you ever wondered how search engine works? How can it match a query with millions of documents super fast and return them to the users? ## [One OS for your AI workforce (Sponsored)](https://crawlproof.com/a/oYXFXkVZD6eh) _2025-04-28 · **Sponsored**_ Build, direct, and supervise an AI workforce from a single operating workspace. ## [Downloading datasets from Our World in Data in R](https://statisticaloddsandends.wordpress.com/2025/01/30/downloading-datasets-from-our-world-in-data-in-r/) _2025-01-30 · kjytay · Statistical Odds & Ends_ I recently learned from Allen Downey’s blog that Our World in Data is providing API access to their data. Our World in Data hosts datasets across several important topics, from population and demographic change, poverty and economic development, to human … Continue reading → ## [What is the fused lasso?](https://statisticaloddsandends.wordpress.com/2025/01/17/what-is-the-fused-lasso/) _2025-01-17 · kjytay · Statistical Odds & Ends_ The fused lasso, introduced in Tibshirani et al. (2005) (Reference 1), is an extension of the lasso. While the lasso produces sparse models, the fused lasso produces models that are not only sparse, but favor a locally constant coefficient profile. … Continue reading → ## [Learning Go Binary Reverse Engineering through Malware Analysis](https://ivyfanchiang.ca/blog/go-malware-reversing) _2024-11-06 · Ivy Fan-Chiang's Blog_ My last malware related project that I covered on this blog was the setup of my honeypot server and some analytics on the traffic it was receiving . I set up that honeypot server with the intention of collecting malware samples to reverse engineer, and this bot was one sample that piqued my interest. Here is my journey into the world of reverse engineering Go binaries and learning how Go works at… ## [What is the Cauchy combination test?](https://statisticaloddsandends.wordpress.com/2024/09/07/what-is-the-cauchy-combination-test/) _2024-09-07 · kjytay · Statistical Odds & Ends_ Set-up Assume that we have p-values . Assume that they are computed from z-scores (test statistics following normal distributions). Let and let . Without loss of generality, assume that each test statistic has variance 1. With this, we can express … Continue reading → ## [An interesting result involving the Cauchy distribution](https://statisticaloddsandends.wordpress.com/2024/09/07/an-interesting-result-involving-the-cauchy-distribution/) _2024-09-07 · kjytay · Statistical Odds & Ends_ If are independent variables and is a random vector independent of the ‘s with for all and , it is well-known that also has a distribution. It is also well-known that if and are independent standard normal variables, then has … Continue reading → ## [Converting a uniform distribution into a Cauchy distribution](https://statisticaloddsandends.wordpress.com/2024/08/29/converting-a-uniform-distribution-into-a-cauchy-distribution/) _2024-08-29 · kjytay · Statistical Odds & Ends_ The following proposition demonstrates how one can transform a uniform distribution on into a standard Cauchy distribution: Proposition. If and , then has standard Cauchy distribution. Proof: For any , where the second-last equality is due to the fact that … Continue reading →