Exploratory Data Analysis ( EDA ) is the process of organizing, plotting and summarizing a data set. EDA was developed by one the greatest statistician of all time John W. Tukey. In his book “Exploratory data analysis” in 1977 where the principal for EDA was laid. He said “Exploratory Data Analysis can never be the whole story, but nothing else can serve as the foundation stone.” “Exploratory Data Analysis can never be the whole story,…
In probability theory, two events are said to be mutually exclusive or disjoint events if and only if they can not occur at the same time. For example, while tossing a coin head and tail can not occur at the same time. To understand the independence of events you can check my previous article. In short, Event A and B are independent if and only if P(A ∩ B) = P(A) x P(B). To be independent…
Bayes’s theorem is a way of finding a probability when we have certain other probabilities. Bayes’s theorem is stated mathematically as the following equation: Where A and B are events and P(B) ≠ 0, P(A | B) is also a conditional probability: the likelihood of event A occurring given B is true. P(B | A) is also a conditional probability: the likelihood of event B occurring given A is true. P(A) and P(B) are conditional probabilities…
Suppose two events A and B are mutually inclusive events ( having one or more outcomes in common ). Conditional probability i.e. P( A | B ) is the probability of event A occurring with some relationship to event B. Mathematically, P(A | B) = P(A and B) / P(A) which you can also rewrite as: P(A | B) = P(A∩B) / P(A) where P(A) ≠ 0 Conditional Probability in Real World Suppose the weather forecasts…