Probability and Statistics

The simplest type of number system is binary, which employs only two digits of 0 and 1. (i.e. value of base 2). Because digital electronics only has two states (either 0 or 1), current computer engineers, networking and communication specialists, and other professions favor binary numbers. The decimal number system, on the other hand, is […]

Probability is a branch of mathematics that deals with numerical explanations of the chances of something happening or the accuracy of a statement. In general, the probability of an event is a number between 0 and 1, with 0 signifying impossibility and 1 indicating certainty. The greater the probability of something happening, the more likely

The conditional statement is a part of mathematical reasoning which is a critical skill that enables students to analyze a given hypothesis without any reference to a particular context or meaning of the particular scenario. In layman’s words, when a scientific inquiry or statement is examined, the reasoning is not based on only a scientist’s

There are two types of random variables: continuous random variables and discrete random variables. A random variable is a variable whose value is dependent on all conceivable experimental results. A discrete random variable is defined at an exact value, whereas a continuous random variable is defined throughout a range of values. Define Continuous Random Variable

A contrapositive is a form of a conditional statement. It is an outcome statement after exchanging the hypothesis and conclusion of an inverse statement, as the inverse statement is a must in calculating the contrapositive statement. Therefore, we first need to find the inverse statement of any conditional statement present. Now, all we have to

Converse statements are the reverse of conditional statements. The term ‘converse’ itself refers to reversed conditions. These statements are used to justify whether the statements converse of conditional statements have the same outcomes or not. In simpler words, these statements swap their hypothesis (conditions) and conclusions (results) for interpretations.  Converse statements are a type of

A number system is called a positional number system due to the value of each symbol (i.e. digits and alphabets) in a number depending on the position within a number. Numbers can also be the fractional part similar to the decimal used by us. The symbol in the rightmost position of the integer part is

A discrete Probability Distribution Function is a function that includes some discrete values in its domain. The number of values it includes could be both finite and infinite. It is in no way necessary that these Discrete Probability Distribution Functions may be grouped under the domain of integers but generally this is what is done.

A random variable is a real-valued function defined over the sample space of a random experiment in probability. That is, the random variable’s values correlate to the results of the random experiment. Random variables can be discrete or continuous in nature. The likely values of a random variable may represent the possible results of an

The probability of an event occurring can be termed as the probability. There are many scenarios in which we must forecast the result of an event in real life. An event’s result might be assured or uncertain. In this case, we can say the event has a possibility of occurring or not occurring. Probability has