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Basic Statistics Lecture #1: Basic Concepts

Probability is the foundation of everything we do in Statistics.  There are two types of probability: discrete and continuous.  Discrete probability is when there are distinct probabilities for different values (represented by bars), while continuous probability is where the probabilities change smoothly with the value (represented by a smooth curve).  This is better described by images.  These are two types of probability models and are therefor treated different. Discrete Probabilities of Dice Rolls. Continuous Probability Distribution of Pounds of Waste Produced. We have what is called Probability Models.  Probability models have a sample space (denoted by an S).  Probabilities are assigned to sample points in sample space.  For the continuous Standard Normal Distribution, the x axis is the sample point and the y axis (denoted P(E)) is the probability axis.  In the graphs above, the values we want to get a probability for is on th...

The Science They Don't Want You to Know

I am currently working on a YouTube project called "The Science They Don't Want You to Know", where I will cover science that various organizations and individuals don't want to be known by the general population for one reason or another.  It will be set up in seasons, since there are so many related topics to consider. The first season will cover conspiracy theories which affect public health.  In it, I will run be dependent on two papers, one which revolves around the mathematics of known conspiracies, and the other which describes the psychology of conspiracy theorists.  The math paper , which is written by Professor David Grimes of the University of Oxford, looks at various conspiracies which have been leaked to the public.  Examples of this include the NSA spying on us , the old syphilis "experiments" , and Watergate.  What he did was to use these known cases of conspiracies to develop a model for figuring out what the probability would be fo...

The Importance of Curiosity and Life

This post will be predominately geared towards two groups of people; those who are presently in college or those who are looking to go to college. I have the people that have been in my study groups in chemistry, math, and physics in mind, but this applies to everyone going to college. With all degree programs, there are two important mentalities to have while going through with it: You have to have insatiable curiosity for the subject, and you have to love the subject. Without these two frames of thought, you will make your academic and professional careers a living nightmare. The vast majority of the students in all of my classes – this semester and in every semester for the past couple of years – have not had the curiosity required to be actually successful in these classes. Now let me stop here to explain what I mean by successful. In my mind, successful is more than merely the grade, though don't get me wrong; the grade is a part of it. A bigger part of success in ...