We all know how much matrix algebra is necessary for probability, statistics, machine learning and data science. So here is a book: Introduction to Linear and Matrix Algebra by Nathaniel Johnston.

@aryehazan absolutely! they say fat tails but how fat? 😅

A Course in Probability Theory by Kai Lai Chung

@abruzuc Yes! Because it is not just "the office". One has to: - Get up in time - Eat at the right time - Travel - Communicate with people. As rightly said by one of the monks in India: "Bring more physicality into your system." After all, human beings are social beings.

Population of India in terms of other nations.

my gmail was out of storage for some time. during that period i did not receive any emails. now i have deleted some files to get some storage. will i get the mails which did not reach my inbox?

going through postdoctoral rejection phase!

Solution: The probability is 1. Divide the square of side 2 units into 4 smaller squares each of side 1 unit. Since you need to put 5 points in 4 small squares, there will exist at least one small square with at least 2 points. However, the maximum distance between 2 points in a square of side 1 unit is when they sit on the two extremes of a diagonal, in which case, the distance is square-root(2). Hence we are done! Therefore, the event always happens, and hence has probability 1.

@birdmd1618 yes i did.

Linear Algebra Done Right by Sheldon Axler

Fun question: Suppose you have a square of side 2 units. Pick 5 points uniformly at random from the square. What is the probability that there are at least 2 points which are at a distance of at most square-root(2) units?

Suppose for every positive integer n, the n-th order moment of X is equal to the n-th order moment of Y. Does X and Y have the same probability distribution? If YES, then why? If NO, then provide a counterexample.

I'm beyond happy to see so many people investing time to solve the problem. Would you like to see more of these problems?

@erisaonX Continuity equation and Optimal Transport.

Probability and Statistics by DeGroot and Schervish

Let X~Uniform(0,5) and Y~Uniform(3,8). Suppose X and Y are independent. What is P(X<Y)?

Black coffee without sugar, three times a day. What is your count?

Thinking of creating a website where there will be: 1. Problems and Solutions 2. Lecture Notes 3. Booklist. We can add more stuff later on. What do you think? Repost and comment "YES" if you want this.

Mathematical Methods in Statistics: A Work Book by David Freedman and David Lane