Exponential Distribution’s Memoryless property
Quizzes Question 1:The time between arrivals of buses at a bus stop follows an exponential distribution with a mean of 10 minutes. What is the probability that a bus will arrive within the next 5…
Uniform distribution
The Uniform Distribution is a type of probability distribution in which all outcomes are equally likely. It’s a continuous distribution, meaning that it takes on an uncountable number of possible values. For any given interval…
independent events
Quizzes Question: If the probability of using Facebook is 0.6 and the probability of using Instagram is 0.5, and these events are independent, what is the probability of using both Facebook and Instagram?Options:A) 0.3B) 0.9C)…
Quizzes: addition rules of probability
Question: A music streaming service offers songs in three genres: Pop, Rock, and Jazz. The probability of a song being Pop is 0.5, Rock is 0.4, and Jazz is 0.3. If the probability of a…
Combinations
A combination is a selection of items from a larger set, where the order of selection does not matter. For example, suppose you have a set of three different fruits: Apple (A), Banana (B), and…
Quizzes: Population vs Sample
What is the population in the context of a movie rating study?A) All movies ever madeB) All movie reviewersC) The set of movies included in the studyD) All people who watch movies If a survey…
product rule & quizzes
Quizzes about the product rule Question: An engineer has 4 different types of screws and 3 different types of bolts. How many different combinations of screws and bolts can the engineer choose from?a) 7b) 12c)…
Mutually Exclusive Events
In probability theory and statistics, two events are said to be mutually exclusive if they cannot occur at the same time. In other words, the occurrence of one event excludes the occurrence of the other.…
s-Permutation
Example: password generation. Suppose you are generating a password using the characters A, B, and C. The password must be 3 characters long, and each character can be used once. Here, the S-permutation will be…
Why do monkeys swing
Why do monkeys swing from branch to branch in the forest? The swinging behavior of monkeys is a crucial aspect of their survival and daily activities. Swinging allows them to efficiently navigate the dense canopy,…
Polar bear long swim
Polar bears are exceptional swimmers, capable of navigating the frigid Arctic waters with remarkable endurance. Swimming from one iceberg to another can take them anywhere from one to almost ten days, depending on the distance…
9 brain octopus & gender changed clownfish
Octopuses possess an extraordinary neurological structure, having nine brains in total. They have one central brain that handles overall coordination and cognitive functions, and an additional mini-brain in each of their eight arms. This unique…
Transparent polar bears
Here are some more fun facts about polar bears: These unique traits and behaviors enable polar bears to thrive in the harsh Arctic environment.
Quizzes about the product rule
Question 1: There are 4 different types of shirts and 3 different types of pants. How many different outfits can you make with one shirt and one pair of pants? A. 7B. 10C. 12D. 15…
Quizzes: Complementary rules of probability
More quizzes In a survey, 80% of respondents prefer Brand A over Brand B. If a respondent is selected at random, what is the probability that they prefer Brand B? In a quality control test,…
Quizzes: Classical definition of probability
If you flip a fair coin, what is the probability that it will land on heads? In a class of 30 students, 18 are girls and 12 are boys. What is the probability that a…
Fixed: app crash after integrating Admob to Unity project
If your app crash after updating admob, see the final part. First, check if you input the correct AdMob/Ad Manager Application ID. The correct one should be in the format: “ca-app-pub-################~##########”. A sample AdMob Application…
Unity & Admob bugs fixed
List of popular bugs: Fixed: app crash after integrating Admob to Unity project Fixed: Unity Gradle Build failure Fixed: Could not resolve all files for configuration ‘:launcher:releaseRuntimeClasspath’. More debugging tips: Debugging in Unity can sometimes…
Encoding categorical data in python
Handling categorical data involves several steps to convert it into a format that machine learning algorithms can process effectively. Here are common methods used to handle categorical data: 1. Label Encoding Label encoding converts categorical…
Fixed: Could not resolve all files for configuration ‘:launcher:releaseRuntimeClasspath’.
This is done on Unity 2022.3.28f1 and I encountered this issue when trying to export the app after installing Ads Mediation from Unity First, go to File >> Build Setting >> Player Settings >> Enable…
example of stack generalization using K-Nearest Neighbors (KNN) and Random Forest + Python codes
This example demonstrates the basic steps of stack generalization with two classifiers (KNN and Random Forest) and a Logistic Regression model as the meta-learner. The predictions of the base models on the training data are…
Fixed: Unity Gradle Build failure
Google has API requirement and if you already got the new SDK API installed to do that, but after that you encounter Gradle building issue, try this: Go to Player Settings >> Publishing Settings Check…
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Citations issues
If you’ve added another author to your paper and posted it on arXiv, but Google Scholar doesn’t show the new author’s name in the citation, you can go to your paper listing in arxiv >>…
Kernel tricks, SVM properties & kernel choice
Some popular types of kernels in SVM: 1. Linear Kernel 2. Polynomial Kernel 3. Radial Basis Function (RBF) Kernel (Gaussian Kernel) 4. Sigmoid Kernel Visualizing the decision boundaries To visualize the decision boundaries, we’ll use…
Exponential distribution
This song helps us better remember the properties of the exponential distribution. The exponential distribution models time between events in a Poisson process, where occurrences are independent at a constant rate. Key features include its probability density and cumulative distribution functions, mean, variance, and memoryless property. It has applications in queueing theory, reliability engineering, and survival analysis.
Phân ph?i m?
Phân ph?i m? (exponential distribution) là m?t phân ph?i xác su?t quan tr?ng trong lý thuy?t xác su?t và th?ng kê. Nó ???c s? d?ng ?? mô t? th?i gian gi?a các s? ki?n x?y…
Recover lost content in Overleaf via history
In Overleaf, the history feature allows you to track and revert changes made to your document. This is particularly useful if you’ve inadvertently deleted something important. Here’s a step-by-step guide on how to use the…
Logistic Regression: method + Python & R codes
Logistic regression & Bernoulli distribution Logistic regression is a statistical method used for analyzing datasets in which there are one or more independent variables that determine an outcome. The outcome is typically a binary variable,…
AIC and BIC for Feature Selection
Akaike Information Criterion (AIC) Bayesian Information Criterion (BIC) Comparison and Use in Feature Selection By applying AIC and BIC in feature selection, we can make informed decisions about which features to include in their models,…
KNN classification: practical notices & implementation using Python & R
We should normalize or standardize data before applying KNN because the algorithm is distance-based, and unscaled features can distort distance calculations, leading to biased results. In this example, we’ll use the Iris dataset, which is…
K-Nearest Neighbors (KNN): an introduction
K-Nearest Neighbors (KNN) is a popular algorithm used for both classification and regression tasks. In KNN, the output is a class membership, which is assigned based on the majority of the k nearest data points.…