The total area under the curve must equal 1, representing the fact that the probability of some outcome occurring within the entire range is certain. \[\int_{-\infty}^{\infty}f\left(x\right)dx=1\] ...

IIT JAM Mathematical Statistics Syllabus 2026: The IIT JAM Mathematical Statistics (MS) syllabus is a crucial resource for any student aiming to appear for the IIT JAM 2026 examination. The syllabus ...

Abstract: Mixed type random variables contain both continuous and discrete components, and their role is critical in many well-studied fields. Queuing analysis, stock options, and hydrology rainfall ...

ABSTRACT: This in virtue of the notion of likelihood ratio and the tool of moment generating function, the limit properties of the sequences of random discrete random variables are studied, and a ...

A discrete random variable is a type of random variable that can take on a countable set of distinct values. Common examples include the number of children in a family, the outcome of rolling a die, ...

Farmers suffer second-worst harvest on record Teens charged over stabbing murders of two children refuse to come to court Starc's warning for England as UK press sniff Ashes boilover A millennial ...

Roll a die and ask students to identify the random variable. Since a die can only take on values of 1, 2, 3, 4, 5, or 6, this is a discrete random variable. Repeat ...