TechnoBlot # Mathematics

## Confidence Intervals

What is Confidence Intervals?The confidence interval is a range of intervals that are likely to include the values from the population with a certain degree of confidence. It often lies between two upper and the lower interval and expressed in the percentage. How to find confidence intervals?Step 1: As a first step subtract 1 from …

## Descriptive Statistics

What is meant by Descriptive Statistics?Descriptive statistics are generally used to describe the basic features of the data in a study. Theyprovide simple summaries about the sample and the measures.In other words, descriptive statistics simply describes what is or what the data is coming to say.Descriptive statistics are commonly used to simplify a large amount …

## Complementary and Mutually Exclusive Events

Complementary EventsComplementary events are generally the two possible outcomes of an event in all possible ways. ExampleWhile flipping a coin we may get either head or the tails. There are no other options exists so these events are said to be complementary events.On rolling a die we generally have more than 2 possibilities so they …

## The Measure of Central Tendency

A measure of central tendency can be generally defined as the value that tends to describe the set of data by locating the central position within the set of data. Icons of MeasuresMean which can be defined as the average of something is generally used to measure the central tendency, but in some other cases, …

## Conditional Probability

What Is Conditional Probability?The conditional probability of an event B is the probability that the event will occur given the complete knowledge that the event A has already occurred. Dependent EventsIf the two events are dependent then,P (A and B) = P(A).P(B|A).P (B|A) = P(A and B) / P(A). Independent EventsIf the two events are …

## Random Variables, Expectation and Variances

Random Variables The random variables are generally defined as the variable whose value is generally unknown or it can be defined as the function which takes the value of the experiment outcomes. Types of the Random Variables Discrete Random Variable Random Random Variable ExpectationThe expectation is nothing but it is a long time average value …

## Sample Space

What is sample space?Sample space is generally defined as the set of all possible outcomes of a random experiment. A samplespace may generally contain number of outcomes which depends on the experiment carried out.Examples:On tossing a coin the sample space is given by,The sample space is S = (H, T).On tossing a die the sample …

## Poisson distribution

What is Poisson distribution?A Poisson distribution is generally defined as the tool to calculate the probability of the event when you know how often the event has occurred.To explain in a simple manner, it gives the probability of the event generally happening in the fixed interval of time. Attributes of Poisson distribution The experiment results …

## Normal Distribution

What is Normal distribution? Data can be generally spread in different ways that can be either spread to the right or left but there exist many cases where the data tend to exist around some central value which tends it to take some bell -shaped curve. It is called the normal distribution. Examples for the normal …

## Bivariate Distribution

What is Bivariate Distribution?A bivariate distribution is a probability that there is a chance for the simple event to occur when there are probably two independent random variables in your case.Example: Consider two bowls each one filled with two different of candies, taking out one candy from each bowl this would give you two independent random …